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Finding the Third Proportional to 729,253 and 1,103,941

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Solution

The third proportional to 729,253 and 1,103,941 is: 1,671,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,253 : 1,103,941 = 1,103,941 : x
  2. Step 2: Convert to fraction form
    729,253/1,103,941 = 1,103,941/x
  3. Step 3: Cross multiply
    729,253x = 1,103,941 × 1,103,941
  4. Step 4: Simplify right side
    729,253x = 1,218,685,731,481
  5. Step 5: Solve for x
    x = 1,218,685,731,481/729,253
  6. Step 6: Final answer
    x = 1,671,142.57

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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.