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Finding the Third Proportional to 985,123 and 2,127,422

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Solution

The third proportional to 985,123 and 2,127,422 is: 4,594,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,123 : 2,127,422 = 2,127,422 : x
  2. Step 2: Convert to fraction form
    985,123/2,127,422 = 2,127,422/x
  3. Step 3: Cross multiply
    985,123x = 2,127,422 × 2,127,422
  4. Step 4: Simplify right side
    985,123x = 4,525,924,366,084
  5. Step 5: Solve for x
    x = 4,525,924,366,084/985,123
  6. Step 6: Final answer
    x = 4,594,273.37

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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.