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Finding the Third Proportional to 966,037 and 2,098,150.75

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Solution

The third proportional to 966,037 and 2,098,150.75 is: 4,557,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,037 : 2,098,150.75 = 2,098,150.75 : x
  2. Step 2: Convert to fraction form
    966,037/2,098,150.75 = 2,098,150.75/x
  3. Step 3: Cross multiply
    966,037x = 2,098,150.75 × 2,098,150.75
  4. Step 4: Simplify right side
    966,037x = 4,402,236,569,725.56
  5. Step 5: Solve for x
    x = 4,402,236,569,725.56/966,037
  6. Step 6: Final answer
    x = 4,557,006.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.