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Finding the Third Proportional to 709,216 and 1,567,474

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Solution

The third proportional to 709,216 and 1,567,474 is: 3,464,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,216 : 1,567,474 = 1,567,474 : x
  2. Step 2: Convert to fraction form
    709,216/1,567,474 = 1,567,474/x
  3. Step 3: Cross multiply
    709,216x = 1,567,474 × 1,567,474
  4. Step 4: Simplify right side
    709,216x = 2,456,974,740,676
  5. Step 5: Solve for x
    x = 2,456,974,740,676/709,216
  6. Step 6: Final answer
    x = 3,464,353.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.