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Finding the Third Proportional to 1,731,357 and 2,587,345.31

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Solution

The third proportional to 1,731,357 and 2,587,345.31 is: 3,866,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731,357 : 2,587,345.31 = 2,587,345.31 : x
  2. Step 2: Convert to fraction form
    1,731,357/2,587,345.31 = 2,587,345.31/x
  3. Step 3: Cross multiply
    1,731,357x = 2,587,345.31 × 2,587,345.31
  4. Step 4: Simplify right side
    1,731,357x = 6,694,355,766,115.72
  5. Step 5: Solve for x
    x = 6,694,355,766,115.72/1,731,357
  6. Step 6: Final answer
    x = 3,866,536.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.