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Finding the Third Proportional to 518,814 and 1,136,043

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Solution

The third proportional to 518,814 and 1,136,043 is: 2,487,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,814 : 1,136,043 = 1,136,043 : x
  2. Step 2: Convert to fraction form
    518,814/1,136,043 = 1,136,043/x
  3. Step 3: Cross multiply
    518,814x = 1,136,043 × 1,136,043
  4. Step 4: Simplify right side
    518,814x = 1,290,593,697,849
  5. Step 5: Solve for x
    x = 1,290,593,697,849/518,814
  6. Step 6: Final answer
    x = 2,487,584.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.