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Finding the Third Proportional to 838,611.98 and 1,329,986.46

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Solution

The third proportional to 838,611.98 and 1,329,986.46 is: 2,109,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,611.98 : 1,329,986.46 = 1,329,986.46 : x
  2. Step 2: Convert to fraction form
    838,611.98/1,329,986.46 = 1,329,986.46/x
  3. Step 3: Cross multiply
    838,611.98x = 1,329,986.46 × 1,329,986.46
  4. Step 4: Simplify right side
    838,611.98x = 1,768,863,986,277.06
  5. Step 5: Solve for x
    x = 1,768,863,986,277.06/838,611.98
  6. Step 6: Final answer
    x = 2,109,275.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.