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Finding the Third Proportional to 2,070,910 and 3,138,441

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Solution

The third proportional to 2,070,910 and 3,138,441 is: 4,756,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,910 : 3,138,441 = 3,138,441 : x
  2. Step 2: Convert to fraction form
    2,070,910/3,138,441 = 3,138,441/x
  3. Step 3: Cross multiply
    2,070,910x = 3,138,441 × 3,138,441
  4. Step 4: Simplify right side
    2,070,910x = 9,849,811,910,481
  5. Step 5: Solve for x
    x = 9,849,811,910,481/2,070,910
  6. Step 6: Final answer
    x = 4,756,272.32

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