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Finding the Third Proportional to 537,077 and 1,182,136

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Solution

The third proportional to 537,077 and 1,182,136 is: 2,601,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,077 : 1,182,136 = 1,182,136 : x
  2. Step 2: Convert to fraction form
    537,077/1,182,136 = 1,182,136/x
  3. Step 3: Cross multiply
    537,077x = 1,182,136 × 1,182,136
  4. Step 4: Simplify right side
    537,077x = 1,397,445,522,496
  5. Step 5: Solve for x
    x = 1,397,445,522,496/537,077
  6. Step 6: Final answer
    x = 2,601,946.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.