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Finding the Third Proportional to 485,223,675.75 and 1,062,809,601.19

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Solution

The third proportional to 485,223,675.75 and 1,062,809,601.19 is: 2,327,924,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,223,675.75 : 1,062,809,601.19 = 1,062,809,601.19 : x
  2. Step 2: Convert to fraction form
    485,223,675.75/1,062,809,601.19 = 1,062,809,601.19/x
  3. Step 3: Cross multiply
    485,223,675.75x = 1,062,809,601.19 × 1,062,809,601.19
  4. Step 4: Simplify right side
    485,223,675.75x = 1,129,564,248,376,332,800
  5. Step 5: Solve for x
    x = 1,129,564,248,376,332,800/485,223,675.75
  6. Step 6: Final answer
    x = 2,327,924,841.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.