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Finding the Third Proportional to 882,954.84 and 1,324,432.69

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Solution

The third proportional to 882,954.84 and 1,324,432.69 is: 1,986,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,954.84 : 1,324,432.69 = 1,324,432.69 : x
  2. Step 2: Convert to fraction form
    882,954.84/1,324,432.69 = 1,324,432.69/x
  3. Step 3: Cross multiply
    882,954.84x = 1,324,432.69 × 1,324,432.69
  4. Step 4: Simplify right side
    882,954.84x = 1,754,121,943,718.47
  5. Step 5: Solve for x
    x = 1,754,121,943,718.47/882,954.84
  6. Step 6: Final answer
    x = 1,986,649.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.