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Finding the Third Proportional to 2,307,332.25 and 3,581,952.75

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Solution

The third proportional to 2,307,332.25 and 3,581,952.75 is: 5,560,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,332.25 : 3,581,952.75 = 3,581,952.75 : x
  2. Step 2: Convert to fraction form
    2,307,332.25/3,581,952.75 = 3,581,952.75/x
  3. Step 3: Cross multiply
    2,307,332.25x = 3,581,952.75 × 3,581,952.75
  4. Step 4: Simplify right side
    2,307,332.25x = 12,830,385,503,232.56
  5. Step 5: Solve for x
    x = 12,830,385,503,232.56/2,307,332.25
  6. Step 6: Final answer
    x = 5,560,701.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.