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Finding the Third Proportional to 966,469 and 2,011,452

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Solution

The third proportional to 966,469 and 2,011,452 is: 4,186,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,469 : 2,011,452 = 2,011,452 : x
  2. Step 2: Convert to fraction form
    966,469/2,011,452 = 2,011,452/x
  3. Step 3: Cross multiply
    966,469x = 2,011,452 × 2,011,452
  4. Step 4: Simplify right side
    966,469x = 4,045,939,148,304
  5. Step 5: Solve for x
    x = 4,045,939,148,304/966,469
  6. Step 6: Final answer
    x = 4,186,310.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.