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Finding the Third Proportional to 518,813 and 1,136,041

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Solution

The third proportional to 518,813 and 1,136,041 is: 2,487,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,813 : 1,136,041 = 1,136,041 : x
  2. Step 2: Convert to fraction form
    518,813/1,136,041 = 1,136,041/x
  3. Step 3: Cross multiply
    518,813x = 1,136,041 × 1,136,041
  4. Step 4: Simplify right side
    518,813x = 1,290,589,153,681
  5. Step 5: Solve for x
    x = 1,290,589,153,681/518,813
  6. Step 6: Final answer
    x = 2,487,580.60

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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.