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Finding the Third Proportional to 538,143 and 1,170,876

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Solution

The third proportional to 538,143 and 1,170,876 is: 2,547,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,143 : 1,170,876 = 1,170,876 : x
  2. Step 2: Convert to fraction form
    538,143/1,170,876 = 1,170,876/x
  3. Step 3: Cross multiply
    538,143x = 1,170,876 × 1,170,876
  4. Step 4: Simplify right side
    538,143x = 1,370,950,607,376
  5. Step 5: Solve for x
    x = 1,370,950,607,376/538,143
  6. Step 6: Final answer
    x = 2,547,558.19

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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.