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Finding the Third Proportional to 3,505,840 and 5,413,560

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Solution

The third proportional to 3,505,840 and 5,413,560 is: 8,359,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505,840 : 5,413,560 = 5,413,560 : x
  2. Step 2: Convert to fraction form
    3,505,840/5,413,560 = 5,413,560/x
  3. Step 3: Cross multiply
    3,505,840x = 5,413,560 × 5,413,560
  4. Step 4: Simplify right side
    3,505,840x = 29,306,631,873,600
  5. Step 5: Solve for x
    x = 29,306,631,873,600/3,505,840
  6. Step 6: Final answer
    x = 8,359,375.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.