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Finding the Third Proportional to 1,202,870 and 2,615,584

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Solution

The third proportional to 1,202,870 and 2,615,584 is: 5,687,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,870 : 2,615,584 = 2,615,584 : x
  2. Step 2: Convert to fraction form
    1,202,870/2,615,584 = 2,615,584/x
  3. Step 3: Cross multiply
    1,202,870x = 2,615,584 × 2,615,584
  4. Step 4: Simplify right side
    1,202,870x = 6,841,279,661,056
  5. Step 5: Solve for x
    x = 6,841,279,661,056/1,202,870
  6. Step 6: Final answer
    x = 5,687,463.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.