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Finding the Third Proportional to 484,742 and 1,036,876

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Solution

The third proportional to 484,742 and 1,036,876 is: 2,217,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,742 : 1,036,876 = 1,036,876 : x
  2. Step 2: Convert to fraction form
    484,742/1,036,876 = 1,036,876/x
  3. Step 3: Cross multiply
    484,742x = 1,036,876 × 1,036,876
  4. Step 4: Simplify right side
    484,742x = 1,075,111,839,376
  5. Step 5: Solve for x
    x = 1,075,111,839,376/484,742
  6. Step 6: Final answer
    x = 2,217,905.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.