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Finding the Third Proportional to 985,127 and 2,127,427

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Solution

The third proportional to 985,127 and 2,127,427 is: 4,594,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,127 : 2,127,427 = 2,127,427 : x
  2. Step 2: Convert to fraction form
    985,127/2,127,427 = 2,127,427/x
  3. Step 3: Cross multiply
    985,127x = 2,127,427 × 2,127,427
  4. Step 4: Simplify right side
    985,127x = 4,525,945,640,329
  5. Step 5: Solve for x
    x = 4,525,945,640,329/985,127
  6. Step 6: Final answer
    x = 4,594,276.31

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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.