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Finding the Third Proportional to 1,177,024.61 and 1,665,948.20

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Solution

The third proportional to 1,177,024.61 and 1,665,948.20 is: 2,357,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,024.61 : 1,665,948.20 = 1,665,948.20 : x
  2. Step 2: Convert to fraction form
    1,177,024.61/1,665,948.20 = 1,665,948.20/x
  3. Step 3: Cross multiply
    1,177,024.61x = 1,665,948.20 × 1,665,948.20
  4. Step 4: Simplify right side
    1,177,024.61x = 2,775,383,402,480.36
  5. Step 5: Solve for x
    x = 2,775,383,402,480.36/1,177,024.61
  6. Step 6: Final answer
    x = 2,357,965.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.