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Finding the Third Proportional to 966,288 and 2,049,504

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Solution

The third proportional to 966,288 and 2,049,504 is: 4,347,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,288 : 2,049,504 = 2,049,504 : x
  2. Step 2: Convert to fraction form
    966,288/2,049,504 = 2,049,504/x
  3. Step 3: Cross multiply
    966,288x = 2,049,504 × 2,049,504
  4. Step 4: Simplify right side
    966,288x = 4,200,466,646,016
  5. Step 5: Solve for x
    x = 4,200,466,646,016/966,288
  6. Step 6: Final answer
    x = 4,347,013.15

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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.