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Finding the Third Proportional to 701,868.09 and 1,436,925.66

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Solution

The third proportional to 701,868.09 and 1,436,925.66 is: 2,941,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,868.09 : 1,436,925.66 = 1,436,925.66 : x
  2. Step 2: Convert to fraction form
    701,868.09/1,436,925.66 = 1,436,925.66/x
  3. Step 3: Cross multiply
    701,868.09x = 1,436,925.66 × 1,436,925.66
  4. Step 4: Simplify right side
    701,868.09x = 2,064,755,341,589.49
  5. Step 5: Solve for x
    x = 2,064,755,341,589.49/701,868.09
  6. Step 6: Final answer
    x = 2,941,799.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.