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Finding the Third Proportional to 712,281.94 and 1,498,375.13

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Solution

The third proportional to 712,281.94 and 1,498,375.13 is: 3,152,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,281.94 : 1,498,375.13 = 1,498,375.13 : x
  2. Step 2: Convert to fraction form
    712,281.94/1,498,375.13 = 1,498,375.13/x
  3. Step 3: Cross multiply
    712,281.94x = 1,498,375.13 × 1,498,375.13
  4. Step 4: Simplify right side
    712,281.94x = 2,245,128,015,218.77
  5. Step 5: Solve for x
    x = 2,245,128,015,218.77/712,281.94
  6. Step 6: Final answer
    x = 3,152,021.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.