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Finding the Third Proportional to 517,565 and 1,126,255

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Solution

The third proportional to 517,565 and 1,126,255 is: 2,450,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,565 : 1,126,255 = 1,126,255 : x
  2. Step 2: Convert to fraction form
    517,565/1,126,255 = 1,126,255/x
  3. Step 3: Cross multiply
    517,565x = 1,126,255 × 1,126,255
  4. Step 4: Simplify right side
    517,565x = 1,268,450,325,025
  5. Step 5: Solve for x
    x = 1,268,450,325,025/517,565
  6. Step 6: Final answer
    x = 2,450,803.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.