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Finding the Third Proportional to 2,281,697.86 and 3,415,439.04

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Solution

The third proportional to 2,281,697.86 and 3,415,439.04 is: 5,112,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,697.86 : 3,415,439.04 = 3,415,439.04 : x
  2. Step 2: Convert to fraction form
    2,281,697.86/3,415,439.04 = 3,415,439.04/x
  3. Step 3: Cross multiply
    2,281,697.86x = 3,415,439.04 × 3,415,439.04
  4. Step 4: Simplify right side
    2,281,697.86x = 11,665,223,829,552.17
  5. Step 5: Solve for x
    x = 11,665,223,829,552.17/2,281,697.86
  6. Step 6: Final answer
    x = 5,112,519.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.