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Finding the Third Proportional to 729,179 and 1,141,261

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Solution

The third proportional to 729,179 and 1,141,261 is: 1,786,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,179 : 1,141,261 = 1,141,261 : x
  2. Step 2: Convert to fraction form
    729,179/1,141,261 = 1,141,261/x
  3. Step 3: Cross multiply
    729,179x = 1,141,261 × 1,141,261
  4. Step 4: Simplify right side
    729,179x = 1,302,476,670,121
  5. Step 5: Solve for x
    x = 1,302,476,670,121/729,179
  6. Step 6: Final answer
    x = 1,786,223.51

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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.