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Finding the Third Proportional to 1,191,763.13 and 1,530,193.78

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Solution

The third proportional to 1,191,763.13 and 1,530,193.78 is: 1,964,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,763.13 : 1,530,193.78 = 1,530,193.78 : x
  2. Step 2: Convert to fraction form
    1,191,763.13/1,530,193.78 = 1,530,193.78/x
  3. Step 3: Cross multiply
    1,191,763.13x = 1,530,193.78 × 1,530,193.78
  4. Step 4: Simplify right side
    1,191,763.13x = 2,341,493,008,176.17
  5. Step 5: Solve for x
    x = 2,341,493,008,176.17/1,191,763.13
  6. Step 6: Final answer
    x = 1,964,730.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.