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Finding the Third Proportional to 877,514 and 1,327,071

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Solution

The third proportional to 877,514 and 1,327,071 is: 2,006,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,514 : 1,327,071 = 1,327,071 : x
  2. Step 2: Convert to fraction form
    877,514/1,327,071 = 1,327,071/x
  3. Step 3: Cross multiply
    877,514x = 1,327,071 × 1,327,071
  4. Step 4: Simplify right side
    877,514x = 1,761,117,439,041
  5. Step 5: Solve for x
    x = 1,761,117,439,041/877,514
  6. Step 6: Final answer
    x = 2,006,939.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.