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Finding the Third Proportional to 1,177,135 and 1,666,102

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Solution

The third proportional to 1,177,135 and 1,666,102 is: 2,358,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,135 : 1,666,102 = 1,666,102 : x
  2. Step 2: Convert to fraction form
    1,177,135/1,666,102 = 1,666,102/x
  3. Step 3: Cross multiply
    1,177,135x = 1,666,102 × 1,666,102
  4. Step 4: Simplify right side
    1,177,135x = 2,775,895,874,404
  5. Step 5: Solve for x
    x = 2,775,895,874,404/1,177,135
  6. Step 6: Final answer
    x = 2,358,179.71

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