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Finding the Third Proportional to 966,860 and 2,107,038

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Solution

The third proportional to 966,860 and 2,107,038 is: 4,591,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,860 : 2,107,038 = 2,107,038 : x
  2. Step 2: Convert to fraction form
    966,860/2,107,038 = 2,107,038/x
  3. Step 3: Cross multiply
    966,860x = 2,107,038 × 2,107,038
  4. Step 4: Simplify right side
    966,860x = 4,439,609,133,444
  5. Step 5: Solve for x
    x = 4,439,609,133,444/966,860
  6. Step 6: Final answer
    x = 4,591,780.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.