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Finding the Third Proportional to 810,481 and 1,876,118

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Solution

The third proportional to 810,481 and 1,876,118 is: 4,342,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,481 : 1,876,118 = 1,876,118 : x
  2. Step 2: Convert to fraction form
    810,481/1,876,118 = 1,876,118/x
  3. Step 3: Cross multiply
    810,481x = 1,876,118 × 1,876,118
  4. Step 4: Simplify right side
    810,481x = 3,519,818,749,924
  5. Step 5: Solve for x
    x = 3,519,818,749,924/810,481
  6. Step 6: Final answer
    x = 4,342,876.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.