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Finding the Third Proportional to 646,634 and 1,524,292

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Solution

The third proportional to 646,634 and 1,524,292 is: 3,593,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,634 : 1,524,292 = 1,524,292 : x
  2. Step 2: Convert to fraction form
    646,634/1,524,292 = 1,524,292/x
  3. Step 3: Cross multiply
    646,634x = 1,524,292 × 1,524,292
  4. Step 4: Simplify right side
    646,634x = 2,323,466,101,264
  5. Step 5: Solve for x
    x = 2,323,466,101,264/646,634
  6. Step 6: Final answer
    x = 3,593,170.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.