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Finding the Third Proportional to 418,572 and 916,767

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Solution

The third proportional to 418,572 and 916,767 is: 2,007,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,572 : 916,767 = 916,767 : x
  2. Step 2: Convert to fraction form
    418,572/916,767 = 916,767/x
  3. Step 3: Cross multiply
    418,572x = 916,767 × 916,767
  4. Step 4: Simplify right side
    418,572x = 840,461,732,289
  5. Step 5: Solve for x
    x = 840,461,732,289/418,572
  6. Step 6: Final answer
    x = 2,007,926.31

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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.