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Finding the Third Proportional to 966,304 and 2,049,536

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Solution

The third proportional to 966,304 and 2,049,536 is: 4,347,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,304 : 2,049,536 = 2,049,536 : x
  2. Step 2: Convert to fraction form
    966,304/2,049,536 = 2,049,536/x
  3. Step 3: Cross multiply
    966,304x = 2,049,536 × 2,049,536
  4. Step 4: Simplify right side
    966,304x = 4,200,597,815,296
  5. Step 5: Solve for x
    x = 4,200,597,815,296/966,304
  6. Step 6: Final answer
    x = 4,347,076.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.