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Finding the Third Proportional to 982,206.84 and 1,467,261

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Solution

The third proportional to 982,206.84 and 1,467,261 is: 2,191,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,206.84 : 1,467,261 = 1,467,261 : x
  2. Step 2: Convert to fraction form
    982,206.84/1,467,261 = 1,467,261/x
  3. Step 3: Cross multiply
    982,206.84x = 1,467,261 × 1,467,261
  4. Step 4: Simplify right side
    982,206.84x = 2,152,854,842,121
  5. Step 5: Solve for x
    x = 2,152,854,842,121/982,206.84
  6. Step 6: Final answer
    x = 2,191,854.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.