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Finding the Third Proportional to 729,169 and 1,141,247

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Solution

The third proportional to 729,169 and 1,141,247 is: 1,786,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,169 : 1,141,247 = 1,141,247 : x
  2. Step 2: Convert to fraction form
    729,169/1,141,247 = 1,141,247/x
  3. Step 3: Cross multiply
    729,169x = 1,141,247 × 1,141,247
  4. Step 4: Simplify right side
    729,169x = 1,302,444,715,009
  5. Step 5: Solve for x
    x = 1,302,444,715,009/729,169
  6. Step 6: Final answer
    x = 1,786,204.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.