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Finding the Third Proportional to 519,842 and 1,117,039

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Solution

The third proportional to 519,842 and 1,117,039 is: 2,400,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,842 : 1,117,039 = 1,117,039 : x
  2. Step 2: Convert to fraction form
    519,842/1,117,039 = 1,117,039/x
  3. Step 3: Cross multiply
    519,842x = 1,117,039 × 1,117,039
  4. Step 4: Simplify right side
    519,842x = 1,247,776,127,521
  5. Step 5: Solve for x
    x = 1,247,776,127,521/519,842
  6. Step 6: Final answer
    x = 2,400,298.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.