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Finding the Third Proportional to 739,410 and 1,513,785

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Solution

The third proportional to 739,410 and 1,513,785 is: 3,099,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,410 : 1,513,785 = 1,513,785 : x
  2. Step 2: Convert to fraction form
    739,410/1,513,785 = 1,513,785/x
  3. Step 3: Cross multiply
    739,410x = 1,513,785 × 1,513,785
  4. Step 4: Simplify right side
    739,410x = 2,291,545,026,225
  5. Step 5: Solve for x
    x = 2,291,545,026,225/739,410
  6. Step 6: Final answer
    x = 3,099,153.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.