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Finding the Third Proportional to 535,482 and 1,126,188

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Solution

The third proportional to 535,482 and 1,126,188 is: 2,368,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,482 : 1,126,188 = 1,126,188 : x
  2. Step 2: Convert to fraction form
    535,482/1,126,188 = 1,126,188/x
  3. Step 3: Cross multiply
    535,482x = 1,126,188 × 1,126,188
  4. Step 4: Simplify right side
    535,482x = 1,268,299,411,344
  5. Step 5: Solve for x
    x = 1,268,299,411,344/535,482
  6. Step 6: Final answer
    x = 2,368,519.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.