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Finding the Third Proportional to 727,527 and 1,587,210

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Solution

The third proportional to 727,527 and 1,587,210 is: 3,462,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,527 : 1,587,210 = 1,587,210 : x
  2. Step 2: Convert to fraction form
    727,527/1,587,210 = 1,587,210/x
  3. Step 3: Cross multiply
    727,527x = 1,587,210 × 1,587,210
  4. Step 4: Simplify right side
    727,527x = 2,519,235,584,100
  5. Step 5: Solve for x
    x = 2,519,235,584,100/727,527
  6. Step 6: Final answer
    x = 3,462,738.27

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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.