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Finding the Third Proportional to 701,978 and 1,516,038

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Solution

The third proportional to 701,978 and 1,516,038 is: 3,274,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,978 : 1,516,038 = 1,516,038 : x
  2. Step 2: Convert to fraction form
    701,978/1,516,038 = 1,516,038/x
  3. Step 3: Cross multiply
    701,978x = 1,516,038 × 1,516,038
  4. Step 4: Simplify right side
    701,978x = 2,298,371,217,444
  5. Step 5: Solve for x
    x = 2,298,371,217,444/701,978
  6. Step 6: Final answer
    x = 3,274,135.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.