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Finding the Third Proportional to 1,239,120 and 2,711,520

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Solution

The third proportional to 1,239,120 and 2,711,520 is: 5,933,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,120 : 2,711,520 = 2,711,520 : x
  2. Step 2: Convert to fraction form
    1,239,120/2,711,520 = 2,711,520/x
  3. Step 3: Cross multiply
    1,239,120x = 2,711,520 × 2,711,520
  4. Step 4: Simplify right side
    1,239,120x = 7,352,340,710,400
  5. Step 5: Solve for x
    x = 7,352,340,710,400/1,239,120
  6. Step 6: Final answer
    x = 5,933,517.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.