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Finding the Third Proportional to 757,077.89 and 1,163,677.64

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Solution

The third proportional to 757,077.89 and 1,163,677.64 is: 1,788,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,077.89 : 1,163,677.64 = 1,163,677.64 : x
  2. Step 2: Convert to fraction form
    757,077.89/1,163,677.64 = 1,163,677.64/x
  3. Step 3: Cross multiply
    757,077.89x = 1,163,677.64 × 1,163,677.64
  4. Step 4: Simplify right side
    757,077.89x = 1,354,145,651,290.57
  5. Step 5: Solve for x
    x = 1,354,145,651,290.57/757,077.89
  6. Step 6: Final answer
    x = 1,788,647.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.