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Finding the Third Proportional to 754,042 and 1,640,762

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Solution

The third proportional to 754,042 and 1,640,762 is: 3,570,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,042 : 1,640,762 = 1,640,762 : x
  2. Step 2: Convert to fraction form
    754,042/1,640,762 = 1,640,762/x
  3. Step 3: Cross multiply
    754,042x = 1,640,762 × 1,640,762
  4. Step 4: Simplify right side
    754,042x = 2,692,099,940,644
  5. Step 5: Solve for x
    x = 2,692,099,940,644/754,042
  6. Step 6: Final answer
    x = 3,570,225.45

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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.