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Finding the Third Proportional to 966,742 and 2,073,448

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Solution

The third proportional to 966,742 and 2,073,448 is: 4,447,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,742 : 2,073,448 = 2,073,448 : x
  2. Step 2: Convert to fraction form
    966,742/2,073,448 = 2,073,448/x
  3. Step 3: Cross multiply
    966,742x = 2,073,448 × 2,073,448
  4. Step 4: Simplify right side
    966,742x = 4,299,186,608,704
  5. Step 5: Solve for x
    x = 4,299,186,608,704/966,742
  6. Step 6: Final answer
    x = 4,447,087.86

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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.