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Finding the Third Proportional to 709,059 and 1,517,785

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Solution

The third proportional to 709,059 and 1,517,785 is: 3,248,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,059 : 1,517,785 = 1,517,785 : x
  2. Step 2: Convert to fraction form
    709,059/1,517,785 = 1,517,785/x
  3. Step 3: Cross multiply
    709,059x = 1,517,785 × 1,517,785
  4. Step 4: Simplify right side
    709,059x = 2,303,671,306,225
  5. Step 5: Solve for x
    x = 2,303,671,306,225/709,059
  6. Step 6: Final answer
    x = 3,248,913.43

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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.