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Finding the Third Proportional to 2,697,974 and 5,780,560

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Solution

The third proportional to 2,697,974 and 5,780,560 is: 12,385,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,974 : 5,780,560 = 5,780,560 : x
  2. Step 2: Convert to fraction form
    2,697,974/5,780,560 = 5,780,560/x
  3. Step 3: Cross multiply
    2,697,974x = 5,780,560 × 5,780,560
  4. Step 4: Simplify right side
    2,697,974x = 33,414,873,913,600
  5. Step 5: Solve for x
    x = 33,414,873,913,600/2,697,974
  6. Step 6: Final answer
    x = 12,385,172.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.