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Finding the Third Proportional to 744,314 and 1,614,654

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Solution

The third proportional to 744,314 and 1,614,654 is: 3,502,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,314 : 1,614,654 = 1,614,654 : x
  2. Step 2: Convert to fraction form
    744,314/1,614,654 = 1,614,654/x
  3. Step 3: Cross multiply
    744,314x = 1,614,654 × 1,614,654
  4. Step 4: Simplify right side
    744,314x = 2,607,107,539,716
  5. Step 5: Solve for x
    x = 2,607,107,539,716/744,314
  6. Step 6: Final answer
    x = 3,502,698.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.