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Finding the Third Proportional to 1,482,000 and 2,296,216

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Solution

The third proportional to 1,482,000 and 2,296,216 is: 3,557,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,000 : 2,296,216 = 2,296,216 : x
  2. Step 2: Convert to fraction form
    1,482,000/2,296,216 = 2,296,216/x
  3. Step 3: Cross multiply
    1,482,000x = 2,296,216 × 2,296,216
  4. Step 4: Simplify right side
    1,482,000x = 5,272,607,918,656
  5. Step 5: Solve for x
    x = 5,272,607,918,656/1,482,000
  6. Step 6: Final answer
    x = 3,557,765.13

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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.