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Finding the Third Proportional to 997,092 and 2,176,920

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Solution

The third proportional to 997,092 and 2,176,920 is: 4,752,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,092 : 2,176,920 = 2,176,920 : x
  2. Step 2: Convert to fraction form
    997,092/2,176,920 = 2,176,920/x
  3. Step 3: Cross multiply
    997,092x = 2,176,920 × 2,176,920
  4. Step 4: Simplify right side
    997,092x = 4,738,980,686,400
  5. Step 5: Solve for x
    x = 4,738,980,686,400/997,092
  6. Step 6: Final answer
    x = 4,752,801.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.