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Finding the Third Proportional to 1,092,649.50 and 1,206,981

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Solution

The third proportional to 1,092,649.50 and 1,206,981 is: 1,333,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,649.50 : 1,206,981 = 1,206,981 : x
  2. Step 2: Convert to fraction form
    1,092,649.50/1,206,981 = 1,206,981/x
  3. Step 3: Cross multiply
    1,092,649.50x = 1,206,981 × 1,206,981
  4. Step 4: Simplify right side
    1,092,649.50x = 1,456,803,134,361
  5. Step 5: Solve for x
    x = 1,456,803,134,361/1,092,649.50
  6. Step 6: Final answer
    x = 1,333,275.80

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.