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Finding the Third Proportional to 631,022 and 1,378,492

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Solution

The third proportional to 631,022 and 1,378,492 is: 3,011,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,022 : 1,378,492 = 1,378,492 : x
  2. Step 2: Convert to fraction form
    631,022/1,378,492 = 1,378,492/x
  3. Step 3: Cross multiply
    631,022x = 1,378,492 × 1,378,492
  4. Step 4: Simplify right side
    631,022x = 1,900,240,194,064
  5. Step 5: Solve for x
    x = 1,900,240,194,064/631,022
  6. Step 6: Final answer
    x = 3,011,369.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.