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Finding the Third Proportional to 727,542 and 1,587,240

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Solution

The third proportional to 727,542 and 1,587,240 is: 3,462,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,542 : 1,587,240 = 1,587,240 : x
  2. Step 2: Convert to fraction form
    727,542/1,587,240 = 1,587,240/x
  3. Step 3: Cross multiply
    727,542x = 1,587,240 × 1,587,240
  4. Step 4: Simplify right side
    727,542x = 2,519,330,817,600
  5. Step 5: Solve for x
    x = 2,519,330,817,600/727,542
  6. Step 6: Final answer
    x = 3,462,797.77

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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.