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Finding the Third Proportional to 649,746.75 and 999,993

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Solution

The third proportional to 649,746.75 and 999,993 is: 1,539,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,746.75 : 999,993 = 999,993 : x
  2. Step 2: Convert to fraction form
    649,746.75/999,993 = 999,993/x
  3. Step 3: Cross multiply
    649,746.75x = 999,993 × 999,993
  4. Step 4: Simplify right side
    649,746.75x = 999,986,000,049
  5. Step 5: Solve for x
    x = 999,986,000,049/649,746.75
  6. Step 6: Final answer
    x = 1,539,039.63

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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.