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Finding the Third Proportional to 682,294 and 1,079,603

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Solution

The third proportional to 682,294 and 1,079,603 is: 1,708,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,294 : 1,079,603 = 1,079,603 : x
  2. Step 2: Convert to fraction form
    682,294/1,079,603 = 1,079,603/x
  3. Step 3: Cross multiply
    682,294x = 1,079,603 × 1,079,603
  4. Step 4: Simplify right side
    682,294x = 1,165,542,637,609
  5. Step 5: Solve for x
    x = 1,165,542,637,609/682,294
  6. Step 6: Final answer
    x = 1,708,270.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.