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Finding the Third Proportional to 710,298 and 1,560,564

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Solution

The third proportional to 710,298 and 1,560,564 is: 3,428,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,298 : 1,560,564 = 1,560,564 : x
  2. Step 2: Convert to fraction form
    710,298/1,560,564 = 1,560,564/x
  3. Step 3: Cross multiply
    710,298x = 1,560,564 × 1,560,564
  4. Step 4: Simplify right side
    710,298x = 2,435,359,998,096
  5. Step 5: Solve for x
    x = 2,435,359,998,096/710,298
  6. Step 6: Final answer
    x = 3,428,645.44

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