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Finding the Third Proportional to 431,037 and 916,614

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Solution

The third proportional to 431,037 and 916,614 is: 1,949,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,037 : 916,614 = 916,614 : x
  2. Step 2: Convert to fraction form
    431,037/916,614 = 916,614/x
  3. Step 3: Cross multiply
    431,037x = 916,614 × 916,614
  4. Step 4: Simplify right side
    431,037x = 840,181,224,996
  5. Step 5: Solve for x
    x = 840,181,224,996/431,037
  6. Step 6: Final answer
    x = 1,949,209.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.