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Finding the Third Proportional to 3,002,822.25 and 4,653,546

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Solution

The third proportional to 3,002,822.25 and 4,653,546 is: 7,211,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,822.25 : 4,653,546 = 4,653,546 : x
  2. Step 2: Convert to fraction form
    3,002,822.25/4,653,546 = 4,653,546/x
  3. Step 3: Cross multiply
    3,002,822.25x = 4,653,546 × 4,653,546
  4. Step 4: Simplify right side
    3,002,822.25x = 21,655,490,374,116
  5. Step 5: Solve for x
    x = 21,655,490,374,116/3,002,822.25
  6. Step 6: Final answer
    x = 7,211,712.37

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Why These Related Problems?

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