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Finding the Third Proportional to 1,243,199 and 1,919,716

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Solution

The third proportional to 1,243,199 and 1,919,716 is: 2,964,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,199 : 1,919,716 = 1,919,716 : x
  2. Step 2: Convert to fraction form
    1,243,199/1,919,716 = 1,919,716/x
  3. Step 3: Cross multiply
    1,243,199x = 1,919,716 × 1,919,716
  4. Step 4: Simplify right side
    1,243,199x = 3,685,309,520,656
  5. Step 5: Solve for x
    x = 3,685,309,520,656/1,243,199
  6. Step 6: Final answer
    x = 2,964,376.19

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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.