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Finding the Third Proportional to 472,691.75 and 1,011,830.50

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Solution

The third proportional to 472,691.75 and 1,011,830.50 is: 2,165,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,691.75 : 1,011,830.50 = 1,011,830.50 : x
  2. Step 2: Convert to fraction form
    472,691.75/1,011,830.50 = 1,011,830.50/x
  3. Step 3: Cross multiply
    472,691.75x = 1,011,830.50 × 1,011,830.50
  4. Step 4: Simplify right side
    472,691.75x = 1,023,800,960,730.25
  5. Step 5: Solve for x
    x = 1,023,800,960,730.25/472,691.75
  6. Step 6: Final answer
    x = 2,165,895.56

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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.