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Finding the Third Proportional to 474,662.53 and 1,023,538.78

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Solution

The third proportional to 474,662.53 and 1,023,538.78 is: 2,207,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,662.53 : 1,023,538.78 = 1,023,538.78 : x
  2. Step 2: Convert to fraction form
    474,662.53/1,023,538.78 = 1,023,538.78/x
  3. Step 3: Cross multiply
    474,662.53x = 1,023,538.78 × 1,023,538.78
  4. Step 4: Simplify right side
    474,662.53x = 1,047,631,636,722.74
  5. Step 5: Solve for x
    x = 1,047,631,636,722.74/474,662.53
  6. Step 6: Final answer
    x = 2,207,108.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.