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Finding the Third Proportional to 985,128 and 2,127,744

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Solution

The third proportional to 985,128 and 2,127,744 is: 4,595,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,128 : 2,127,744 = 2,127,744 : x
  2. Step 2: Convert to fraction form
    985,128/2,127,744 = 2,127,744/x
  3. Step 3: Cross multiply
    985,128x = 2,127,744 × 2,127,744
  4. Step 4: Simplify right side
    985,128x = 4,527,294,529,536
  5. Step 5: Solve for x
    x = 4,527,294,529,536/985,128
  6. Step 6: Final answer
    x = 4,595,640.90

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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.