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Finding the Third Proportional to 1,261,780 and 2,736,518

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Solution

The third proportional to 1,261,780 and 2,736,518 is: 5,934,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,780 : 2,736,518 = 2,736,518 : x
  2. Step 2: Convert to fraction form
    1,261,780/2,736,518 = 2,736,518/x
  3. Step 3: Cross multiply
    1,261,780x = 2,736,518 × 2,736,518
  4. Step 4: Simplify right side
    1,261,780x = 7,488,530,764,324
  5. Step 5: Solve for x
    x = 7,488,530,764,324/1,261,780
  6. Step 6: Final answer
    x = 5,934,894.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.