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Finding the Third Proportional to 727,540 and 1,587,236

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Solution

The third proportional to 727,540 and 1,587,236 is: 3,462,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,540 : 1,587,236 = 1,587,236 : x
  2. Step 2: Convert to fraction form
    727,540/1,587,236 = 1,587,236/x
  3. Step 3: Cross multiply
    727,540x = 1,587,236 × 1,587,236
  4. Step 4: Simplify right side
    727,540x = 2,519,318,119,696
  5. Step 5: Solve for x
    x = 2,519,318,119,696/727,540
  6. Step 6: Final answer
    x = 3,462,789.84

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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.