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Finding the Third Proportional to 1,309,850 and 2,028,711

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Solution

The third proportional to 1,309,850 and 2,028,711 is: 3,142,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,850 : 2,028,711 = 2,028,711 : x
  2. Step 2: Convert to fraction form
    1,309,850/2,028,711 = 2,028,711/x
  3. Step 3: Cross multiply
    1,309,850x = 2,028,711 × 2,028,711
  4. Step 4: Simplify right side
    1,309,850x = 4,115,668,321,521
  5. Step 5: Solve for x
    x = 4,115,668,321,521/1,309,850
  6. Step 6: Final answer
    x = 3,142,091.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.