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Finding the Third Proportional to 500,121 and 1,035,234

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Solution

The third proportional to 500,121 and 1,035,234 is: 2,142,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,121 : 1,035,234 = 1,035,234 : x
  2. Step 2: Convert to fraction form
    500,121/1,035,234 = 1,035,234/x
  3. Step 3: Cross multiply
    500,121x = 1,035,234 × 1,035,234
  4. Step 4: Simplify right side
    500,121x = 1,071,709,434,756
  5. Step 5: Solve for x
    x = 1,071,709,434,756/500,121
  6. Step 6: Final answer
    x = 2,142,900.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.