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Finding the Third Proportional to 1,013,704 and 1,417,219

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Solution

The third proportional to 1,013,704 and 1,417,219 is: 1,981,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,704 : 1,417,219 = 1,417,219 : x
  2. Step 2: Convert to fraction form
    1,013,704/1,417,219 = 1,417,219/x
  3. Step 3: Cross multiply
    1,013,704x = 1,417,219 × 1,417,219
  4. Step 4: Simplify right side
    1,013,704x = 2,008,509,693,961
  5. Step 5: Solve for x
    x = 2,008,509,693,961/1,013,704
  6. Step 6: Final answer
    x = 1,981,357.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.