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Finding the Third Proportional to 688,162 and 1,012,003

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Solution

The third proportional to 688,162 and 1,012,003 is: 1,488,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,162 : 1,012,003 = 1,012,003 : x
  2. Step 2: Convert to fraction form
    688,162/1,012,003 = 1,012,003/x
  3. Step 3: Cross multiply
    688,162x = 1,012,003 × 1,012,003
  4. Step 4: Simplify right side
    688,162x = 1,024,150,072,009
  5. Step 5: Solve for x
    x = 1,024,150,072,009/688,162
  6. Step 6: Final answer
    x = 1,488,239.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.