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Finding the Third Proportional to 766,898 and 1,644,820

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Solution

The third proportional to 766,898 and 1,644,820 is: 3,527,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,898 : 1,644,820 = 1,644,820 : x
  2. Step 2: Convert to fraction form
    766,898/1,644,820 = 1,644,820/x
  3. Step 3: Cross multiply
    766,898x = 1,644,820 × 1,644,820
  4. Step 4: Simplify right side
    766,898x = 2,705,432,832,400
  5. Step 5: Solve for x
    x = 2,705,432,832,400/766,898
  6. Step 6: Final answer
    x = 3,527,760.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.