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Finding the Third Proportional to 773,590.50 and 1,161,847.13

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Solution

The third proportional to 773,590.50 and 1,161,847.13 is: 1,744,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,590.50 : 1,161,847.13 = 1,161,847.13 : x
  2. Step 2: Convert to fraction form
    773,590.50/1,161,847.13 = 1,161,847.13/x
  3. Step 3: Cross multiply
    773,590.50x = 1,161,847.13 × 1,161,847.13
  4. Step 4: Simplify right side
    773,590.50x = 1,349,888,741,870.77
  5. Step 5: Solve for x
    x = 1,349,888,741,870.77/773,590.50
  6. Step 6: Final answer
    x = 1,744,965.51

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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.