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Finding the Third Proportional to 729,247 and 1,103,935

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Solution

The third proportional to 729,247 and 1,103,935 is: 1,671,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,247 : 1,103,935 = 1,103,935 : x
  2. Step 2: Convert to fraction form
    729,247/1,103,935 = 1,103,935/x
  3. Step 3: Cross multiply
    729,247x = 1,103,935 × 1,103,935
  4. Step 4: Simplify right side
    729,247x = 1,218,672,484,225
  5. Step 5: Solve for x
    x = 1,218,672,484,225/729,247
  6. Step 6: Final answer
    x = 1,671,138.15

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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.