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Finding the Third Proportional to 739,445 and 1,513,916

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Solution

The third proportional to 739,445 and 1,513,916 is: 3,099,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,445 : 1,513,916 = 1,513,916 : x
  2. Step 2: Convert to fraction form
    739,445/1,513,916 = 1,513,916/x
  3. Step 3: Cross multiply
    739,445x = 1,513,916 × 1,513,916
  4. Step 4: Simplify right side
    739,445x = 2,291,941,655,056
  5. Step 5: Solve for x
    x = 2,291,941,655,056/739,445
  6. Step 6: Final answer
    x = 3,099,543.11

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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.