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Finding the Third Proportional to 701,179 and 1,098,363

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Solution

The third proportional to 701,179 and 1,098,363 is: 1,720,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,179 : 1,098,363 = 1,098,363 : x
  2. Step 2: Convert to fraction form
    701,179/1,098,363 = 1,098,363/x
  3. Step 3: Cross multiply
    701,179x = 1,098,363 × 1,098,363
  4. Step 4: Simplify right side
    701,179x = 1,206,401,279,769
  5. Step 5: Solve for x
    x = 1,206,401,279,769/701,179
  6. Step 6: Final answer
    x = 1,720,532.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.