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Finding the Third Proportional to 1,177,569 and 1,867,664

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Solution

The third proportional to 1,177,569 and 1,867,664 is: 2,962,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,569 : 1,867,664 = 1,867,664 : x
  2. Step 2: Convert to fraction form
    1,177,569/1,867,664 = 1,867,664/x
  3. Step 3: Cross multiply
    1,177,569x = 1,867,664 × 1,867,664
  4. Step 4: Simplify right side
    1,177,569x = 3,488,168,816,896
  5. Step 5: Solve for x
    x = 3,488,168,816,896/1,177,569
  6. Step 6: Final answer
    x = 2,962,177.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.