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Finding the Third Proportional to 649,748.25 and 999,995.25

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Solution

The third proportional to 649,748.25 and 999,995.25 is: 1,539,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,748.25 : 999,995.25 = 999,995.25 : x
  2. Step 2: Convert to fraction form
    649,748.25/999,995.25 = 999,995.25/x
  3. Step 3: Cross multiply
    649,748.25x = 999,995.25 × 999,995.25
  4. Step 4: Simplify right side
    649,748.25x = 999,990,500,022.56
  5. Step 5: Solve for x
    x = 999,990,500,022.56/649,748.25
  6. Step 6: Final answer
    x = 1,539,043.01

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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.