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Finding the Third Proportional to 997,098 and 2,176,932

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Solution

The third proportional to 997,098 and 2,176,932 is: 4,752,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,098 : 2,176,932 = 2,176,932 : x
  2. Step 2: Convert to fraction form
    997,098/2,176,932 = 2,176,932/x
  3. Step 3: Cross multiply
    997,098x = 2,176,932 × 2,176,932
  4. Step 4: Simplify right side
    997,098x = 4,739,032,932,624
  5. Step 5: Solve for x
    x = 4,739,032,932,624/997,098
  6. Step 6: Final answer
    x = 4,752,825.63

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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.