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Finding the Third Proportional to 1,491,625.13 and 3,265,373.25

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Solution

The third proportional to 1,491,625.13 and 3,265,373.25 is: 7,148,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,625.13 : 3,265,373.25 = 3,265,373.25 : x
  2. Step 2: Convert to fraction form
    1,491,625.13/3,265,373.25 = 3,265,373.25/x
  3. Step 3: Cross multiply
    1,491,625.13x = 3,265,373.25 × 3,265,373.25
  4. Step 4: Simplify right side
    1,491,625.13x = 10,662,662,461,815.56
  5. Step 5: Solve for x
    x = 10,662,662,461,815.56/1,491,625.13
  6. Step 6: Final answer
    x = 7,148,352.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.