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Finding the Third Proportional to 518,624 and 1,146,112

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Solution

The third proportional to 518,624 and 1,146,112 is: 2,532,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,624 : 1,146,112 = 1,146,112 : x
  2. Step 2: Convert to fraction form
    518,624/1,146,112 = 1,146,112/x
  3. Step 3: Cross multiply
    518,624x = 1,146,112 × 1,146,112
  4. Step 4: Simplify right side
    518,624x = 1,313,572,716,544
  5. Step 5: Solve for x
    x = 1,313,572,716,544/518,624
  6. Step 6: Final answer
    x = 2,532,803.57

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.