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Finding the Third Proportional to 914,022 and 1,335,717

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Solution

The third proportional to 914,022 and 1,335,717 is: 1,951,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,022 : 1,335,717 = 1,335,717 : x
  2. Step 2: Convert to fraction form
    914,022/1,335,717 = 1,335,717/x
  3. Step 3: Cross multiply
    914,022x = 1,335,717 × 1,335,717
  4. Step 4: Simplify right side
    914,022x = 1,784,139,904,089
  5. Step 5: Solve for x
    x = 1,784,139,904,089/914,022
  6. Step 6: Final answer
    x = 1,951,966.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.