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Finding the Third Proportional to 2,724,742.88 and 5,840,691

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Solution

The third proportional to 2,724,742.88 and 5,840,691 is: 12,519,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,742.88 : 5,840,691 = 5,840,691 : x
  2. Step 2: Convert to fraction form
    2,724,742.88/5,840,691 = 5,840,691/x
  3. Step 3: Cross multiply
    2,724,742.88x = 5,840,691 × 5,840,691
  4. Step 4: Simplify right side
    2,724,742.88x = 34,113,671,357,481
  5. Step 5: Solve for x
    x = 34,113,671,357,481/2,724,742.88
  6. Step 6: Final answer
    x = 12,519,959.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.