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Finding the Third Proportional to 682,498 and 1,594,957

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Solution

The third proportional to 682,498 and 1,594,957 is: 3,727,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,498 : 1,594,957 = 1,594,957 : x
  2. Step 2: Convert to fraction form
    682,498/1,594,957 = 1,594,957/x
  3. Step 3: Cross multiply
    682,498x = 1,594,957 × 1,594,957
  4. Step 4: Simplify right side
    682,498x = 2,543,887,831,849
  5. Step 5: Solve for x
    x = 2,543,887,831,849/682,498
  6. Step 6: Final answer
    x = 3,727,319.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.