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Finding the Third Proportional to 3,419,062 and 5,413,998

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Solution

The third proportional to 3,419,062 and 5,413,998 is: 8,572,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,062 : 5,413,998 = 5,413,998 : x
  2. Step 2: Convert to fraction form
    3,419,062/5,413,998 = 5,413,998/x
  3. Step 3: Cross multiply
    3,419,062x = 5,413,998 × 5,413,998
  4. Step 4: Simplify right side
    3,419,062x = 29,311,374,344,004
  5. Step 5: Solve for x
    x = 29,311,374,344,004/3,419,062
  6. Step 6: Final answer
    x = 8,572,928.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.