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Finding the Third Proportional to 2,282,855 and 3,539,702

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Solution

The third proportional to 2,282,855 and 3,539,702 is: 5,488,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,855 : 3,539,702 = 3,539,702 : x
  2. Step 2: Convert to fraction form
    2,282,855/3,539,702 = 3,539,702/x
  3. Step 3: Cross multiply
    2,282,855x = 3,539,702 × 3,539,702
  4. Step 4: Simplify right side
    2,282,855x = 12,529,490,248,804
  5. Step 5: Solve for x
    x = 12,529,490,248,804/2,282,855
  6. Step 6: Final answer
    x = 5,488,517.78

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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.