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Finding the Third Proportional to 715,666 and 1,572,380

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Solution

The third proportional to 715,666 and 1,572,380 is: 3,454,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,666 : 1,572,380 = 1,572,380 : x
  2. Step 2: Convert to fraction form
    715,666/1,572,380 = 1,572,380/x
  3. Step 3: Cross multiply
    715,666x = 1,572,380 × 1,572,380
  4. Step 4: Simplify right side
    715,666x = 2,472,378,864,400
  5. Step 5: Solve for x
    x = 2,472,378,864,400/715,666
  6. Step 6: Final answer
    x = 3,454,654.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.