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Finding the Third Proportional to 739,374 and 1,513,713

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Solution

The third proportional to 739,374 and 1,513,713 is: 3,099,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,374 : 1,513,713 = 1,513,713 : x
  2. Step 2: Convert to fraction form
    739,374/1,513,713 = 1,513,713/x
  3. Step 3: Cross multiply
    739,374x = 1,513,713 × 1,513,713
  4. Step 4: Simplify right side
    739,374x = 2,291,327,046,369
  5. Step 5: Solve for x
    x = 2,291,327,046,369/739,374
  6. Step 6: Final answer
    x = 3,099,009.50

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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.