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Finding the Third Proportional to 707,418 and 1,000,017

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Solution

The third proportional to 707,418 and 1,000,017 is: 1,413,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,418 : 1,000,017 = 1,000,017 : x
  2. Step 2: Convert to fraction form
    707,418/1,000,017 = 1,000,017/x
  3. Step 3: Cross multiply
    707,418x = 1,000,017 × 1,000,017
  4. Step 4: Simplify right side
    707,418x = 1,000,034,000,289
  5. Step 5: Solve for x
    x = 1,000,034,000,289/707,418
  6. Step 6: Final answer
    x = 1,413,639.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.