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Finding the Third Proportional to 1,548,908 and 3,282,422

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Solution

The third proportional to 1,548,908 and 3,282,422 is: 6,956,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,908 : 3,282,422 = 3,282,422 : x
  2. Step 2: Convert to fraction form
    1,548,908/3,282,422 = 3,282,422/x
  3. Step 3: Cross multiply
    1,548,908x = 3,282,422 × 3,282,422
  4. Step 4: Simplify right side
    1,548,908x = 10,774,294,186,084
  5. Step 5: Solve for x
    x = 10,774,294,186,084/1,548,908
  6. Step 6: Final answer
    x = 6,956,058.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.