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Finding the Third Proportional to 2,037,780 and 3,142,214

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Solution

The third proportional to 2,037,780 and 3,142,214 is: 4,845,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,780 : 3,142,214 = 3,142,214 : x
  2. Step 2: Convert to fraction form
    2,037,780/3,142,214 = 3,142,214/x
  3. Step 3: Cross multiply
    2,037,780x = 3,142,214 × 3,142,214
  4. Step 4: Simplify right side
    2,037,780x = 9,873,508,821,796
  5. Step 5: Solve for x
    x = 9,873,508,821,796/2,037,780
  6. Step 6: Final answer
    x = 4,845,228.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.