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Finding the Third Proportional to 2,148,120 and 3,011,256

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Solution

The third proportional to 2,148,120 and 3,011,256 is: 4,221,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,120 : 3,011,256 = 3,011,256 : x
  2. Step 2: Convert to fraction form
    2,148,120/3,011,256 = 3,011,256/x
  3. Step 3: Cross multiply
    2,148,120x = 3,011,256 × 3,011,256
  4. Step 4: Simplify right side
    2,148,120x = 9,067,662,697,536
  5. Step 5: Solve for x
    x = 9,067,662,697,536/2,148,120
  6. Step 6: Final answer
    x = 4,221,208.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.