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Finding the Third Proportional to 729,261 and 1,103,951

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Solution

The third proportional to 729,261 and 1,103,951 is: 1,671,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,261 : 1,103,951 = 1,103,951 : x
  2. Step 2: Convert to fraction form
    729,261/1,103,951 = 1,103,951/x
  3. Step 3: Cross multiply
    729,261x = 1,103,951 × 1,103,951
  4. Step 4: Simplify right side
    729,261x = 1,218,707,810,401
  5. Step 5: Solve for x
    x = 1,218,707,810,401/729,261
  6. Step 6: Final answer
    x = 1,671,154.51

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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.