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Finding the Third Proportional to 727,513 and 1,587,181

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Solution

The third proportional to 727,513 and 1,587,181 is: 3,462,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,513 : 1,587,181 = 1,587,181 : x
  2. Step 2: Convert to fraction form
    727,513/1,587,181 = 1,587,181/x
  3. Step 3: Cross multiply
    727,513x = 1,587,181 × 1,587,181
  4. Step 4: Simplify right side
    727,513x = 2,519,143,526,761
  5. Step 5: Solve for x
    x = 2,519,143,526,761/727,513
  6. Step 6: Final answer
    x = 3,462,678.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.