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Finding the Third Proportional to 2,143,218 and 3,265,074

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Solution

The third proportional to 2,143,218 and 3,265,074 is: 4,974,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,218 : 3,265,074 = 3,265,074 : x
  2. Step 2: Convert to fraction form
    2,143,218/3,265,074 = 3,265,074/x
  3. Step 3: Cross multiply
    2,143,218x = 3,265,074 × 3,265,074
  4. Step 4: Simplify right side
    2,143,218x = 10,660,708,225,476
  5. Step 5: Solve for x
    x = 10,660,708,225,476/2,143,218
  6. Step 6: Final answer
    x = 4,974,159.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.