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Finding the Third Proportional to 963,471 and 2,098,530

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Solution

The third proportional to 963,471 and 2,098,530 is: 4,570,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,471 : 2,098,530 = 2,098,530 : x
  2. Step 2: Convert to fraction form
    963,471/2,098,530 = 2,098,530/x
  3. Step 3: Cross multiply
    963,471x = 2,098,530 × 2,098,530
  4. Step 4: Simplify right side
    963,471x = 4,403,828,160,900
  5. Step 5: Solve for x
    x = 4,403,828,160,900/963,471
  6. Step 6: Final answer
    x = 4,570,794.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.