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Finding the Third Proportional to 976,898 and 2,132,932

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Solution

The third proportional to 976,898 and 2,132,932 is: 4,656,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,898 : 2,132,932 = 2,132,932 : x
  2. Step 2: Convert to fraction form
    976,898/2,132,932 = 2,132,932/x
  3. Step 3: Cross multiply
    976,898x = 2,132,932 × 2,132,932
  4. Step 4: Simplify right side
    976,898x = 4,549,398,916,624
  5. Step 5: Solve for x
    x = 4,549,398,916,624/976,898
  6. Step 6: Final answer
    x = 4,656,984.57

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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.