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Finding the Third Proportional to 779,616.75 and 1,166,239.13

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Solution

The third proportional to 779,616.75 and 1,166,239.13 is: 1,744,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,616.75 : 1,166,239.13 = 1,166,239.13 : x
  2. Step 2: Convert to fraction form
    779,616.75/1,166,239.13 = 1,166,239.13/x
  3. Step 3: Cross multiply
    779,616.75x = 1,166,239.13 × 1,166,239.13
  4. Step 4: Simplify right side
    779,616.75x = 1,360,113,696,680.77
  5. Step 5: Solve for x
    x = 1,360,113,696,680.77/779,616.75
  6. Step 6: Final answer
    x = 1,744,592.71

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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.