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Finding the Third Proportional to 591,050 and 936,057

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Solution

The third proportional to 591,050 and 936,057 is: 1,482,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,050 : 936,057 = 936,057 : x
  2. Step 2: Convert to fraction form
    591,050/936,057 = 936,057/x
  3. Step 3: Cross multiply
    591,050x = 936,057 × 936,057
  4. Step 4: Simplify right side
    591,050x = 876,202,707,249
  5. Step 5: Solve for x
    x = 876,202,707,249/591,050
  6. Step 6: Final answer
    x = 1,482,451.07

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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.