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Finding the Third Proportional to 1,403,140 and 3,086,216

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Solution

The third proportional to 1,403,140 and 3,086,216 is: 6,788,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,140 : 3,086,216 = 3,086,216 : x
  2. Step 2: Convert to fraction form
    1,403,140/3,086,216 = 3,086,216/x
  3. Step 3: Cross multiply
    1,403,140x = 3,086,216 × 3,086,216
  4. Step 4: Simplify right side
    1,403,140x = 9,524,729,198,656
  5. Step 5: Solve for x
    x = 9,524,729,198,656/1,403,140
  6. Step 6: Final answer
    x = 6,788,153.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.