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Finding the Third Proportional to 649,749 and 999,996

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Solution

The third proportional to 649,749 and 999,996 is: 1,539,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,749 : 999,996 = 999,996 : x
  2. Step 2: Convert to fraction form
    649,749/999,996 = 999,996/x
  3. Step 3: Cross multiply
    649,749x = 999,996 × 999,996
  4. Step 4: Simplify right side
    649,749x = 999,992,000,016
  5. Step 5: Solve for x
    x = 999,992,000,016/649,749
  6. Step 6: Final answer
    x = 1,539,043.54

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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.