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Finding the Third Proportional to 1,177,006.78 and 1,665,921.56

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Solution

The third proportional to 1,177,006.78 and 1,665,921.56 is: 2,357,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,006.78 : 1,665,921.56 = 1,665,921.56 : x
  2. Step 2: Convert to fraction form
    1,177,006.78/1,665,921.56 = 1,665,921.56/x
  3. Step 3: Cross multiply
    1,177,006.78x = 1,665,921.56 × 1,665,921.56
  4. Step 4: Simplify right side
    1,177,006.78x = 2,775,294,652,402.44
  5. Step 5: Solve for x
    x = 2,775,294,652,402.44/1,177,006.78
  6. Step 6: Final answer
    x = 2,357,925.80

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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.