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Finding the Third Proportional to 581,210 and 1,251,480

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Solution

The third proportional to 581,210 and 1,251,480 is: 2,694,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,210 : 1,251,480 = 1,251,480 : x
  2. Step 2: Convert to fraction form
    581,210/1,251,480 = 1,251,480/x
  3. Step 3: Cross multiply
    581,210x = 1,251,480 × 1,251,480
  4. Step 4: Simplify right side
    581,210x = 1,566,202,190,400
  5. Step 5: Solve for x
    x = 1,566,202,190,400/581,210
  6. Step 6: Final answer
    x = 2,694,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.