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Finding the Third Proportional to 966,768 and 2,073,552

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Solution

The third proportional to 966,768 and 2,073,552 is: 4,447,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,768 : 2,073,552 = 2,073,552 : x
  2. Step 2: Convert to fraction form
    966,768/2,073,552 = 2,073,552/x
  3. Step 3: Cross multiply
    966,768x = 2,073,552 × 2,073,552
  4. Step 4: Simplify right side
    966,768x = 4,299,617,896,704
  5. Step 5: Solve for x
    x = 4,299,617,896,704/966,768
  6. Step 6: Final answer
    x = 4,447,414.37

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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.