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Finding the Third Proportional to 517,775 and 1,129,682

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Solution

The third proportional to 517,775 and 1,129,682 is: 2,464,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,775 : 1,129,682 = 1,129,682 : x
  2. Step 2: Convert to fraction form
    517,775/1,129,682 = 1,129,682/x
  3. Step 3: Cross multiply
    517,775x = 1,129,682 × 1,129,682
  4. Step 4: Simplify right side
    517,775x = 1,276,181,421,124
  5. Step 5: Solve for x
    x = 1,276,181,421,124/517,775
  6. Step 6: Final answer
    x = 2,464,741.29

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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.