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Finding the Third Proportional to 641,952 and 858,816

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Solution

The third proportional to 641,952 and 858,816 is: 1,148,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,952 : 858,816 = 858,816 : x
  2. Step 2: Convert to fraction form
    641,952/858,816 = 858,816/x
  3. Step 3: Cross multiply
    641,952x = 858,816 × 858,816
  4. Step 4: Simplify right side
    641,952x = 737,564,921,856
  5. Step 5: Solve for x
    x = 737,564,921,856/641,952
  6. Step 6: Final answer
    x = 1,148,940.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.