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Finding the Third Proportional to 966,832 and 2,073,560

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Solution

The third proportional to 966,832 and 2,073,560 is: 4,447,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,832 : 2,073,560 = 2,073,560 : x
  2. Step 2: Convert to fraction form
    966,832/2,073,560 = 2,073,560/x
  3. Step 3: Cross multiply
    966,832x = 2,073,560 × 2,073,560
  4. Step 4: Simplify right side
    966,832x = 4,299,651,073,600
  5. Step 5: Solve for x
    x = 4,299,651,073,600/966,832
  6. Step 6: Final answer
    x = 4,447,154.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.