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Finding the Third Proportional to 549,080 and 1,203,136

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Solution

The third proportional to 549,080 and 1,203,136 is: 2,636,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,080 : 1,203,136 = 1,203,136 : x
  2. Step 2: Convert to fraction form
    549,080/1,203,136 = 1,203,136/x
  3. Step 3: Cross multiply
    549,080x = 1,203,136 × 1,203,136
  4. Step 4: Simplify right side
    549,080x = 1,447,536,234,496
  5. Step 5: Solve for x
    x = 1,447,536,234,496/549,080
  6. Step 6: Final answer
    x = 2,636,293.86

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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.