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Finding the Third Proportional to 1,681,751.53 and 3,587,731.31

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Solution

The third proportional to 1,681,751.53 and 3,587,731.31 is: 7,653,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,751.53 : 3,587,731.31 = 3,587,731.31 : x
  2. Step 2: Convert to fraction form
    1,681,751.53/3,587,731.31 = 3,587,731.31/x
  3. Step 3: Cross multiply
    1,681,751.53x = 3,587,731.31 × 3,587,731.31
  4. Step 4: Simplify right side
    1,681,751.53x = 12,871,815,970,692.97
  5. Step 5: Solve for x
    x = 12,871,815,970,692.97/1,681,751.53
  6. Step 6: Final answer
    x = 7,653,815.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.