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Finding the Third Proportional to 766,680 and 1,176,816

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Solution

The third proportional to 766,680 and 1,176,816 is: 1,806,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,680 : 1,176,816 = 1,176,816 : x
  2. Step 2: Convert to fraction form
    766,680/1,176,816 = 1,176,816/x
  3. Step 3: Cross multiply
    766,680x = 1,176,816 × 1,176,816
  4. Step 4: Simplify right side
    766,680x = 1,384,895,897,856
  5. Step 5: Solve for x
    x = 1,384,895,897,856/766,680
  6. Step 6: Final answer
    x = 1,806,354.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.