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Finding the Third Proportional to 709,060 and 1,517,787

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Solution

The third proportional to 709,060 and 1,517,787 is: 3,248,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,060 : 1,517,787 = 1,517,787 : x
  2. Step 2: Convert to fraction form
    709,060/1,517,787 = 1,517,787/x
  3. Step 3: Cross multiply
    709,060x = 1,517,787 × 1,517,787
  4. Step 4: Simplify right side
    709,060x = 2,303,677,377,369
  5. Step 5: Solve for x
    x = 2,303,677,377,369/709,060
  6. Step 6: Final answer
    x = 3,248,917.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.