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Finding the Third Proportional to 649,651.50 and 999,837

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Solution

The third proportional to 649,651.50 and 999,837 is: 1,538,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,651.50 : 999,837 = 999,837 : x
  2. Step 2: Convert to fraction form
    649,651.50/999,837 = 999,837/x
  3. Step 3: Cross multiply
    649,651.50x = 999,837 × 999,837
  4. Step 4: Simplify right side
    649,651.50x = 999,674,026,569
  5. Step 5: Solve for x
    x = 999,674,026,569/649,651.50
  6. Step 6: Final answer
    x = 1,538,785.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.