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Finding the Third Proportional to 591,061 and 936,073

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Solution

The third proportional to 591,061 and 936,073 is: 1,482,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,061 : 936,073 = 936,073 : x
  2. Step 2: Convert to fraction form
    591,061/936,073 = 936,073/x
  3. Step 3: Cross multiply
    591,061x = 936,073 × 936,073
  4. Step 4: Simplify right side
    591,061x = 876,232,661,329
  5. Step 5: Solve for x
    x = 876,232,661,329/591,061
  6. Step 6: Final answer
    x = 1,482,474.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.