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Finding the Third Proportional to 649,749.50 and 999,997

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Solution

The third proportional to 649,749.50 and 999,997 is: 1,539,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,749.50 : 999,997 = 999,997 : x
  2. Step 2: Convert to fraction form
    649,749.50/999,997 = 999,997/x
  3. Step 3: Cross multiply
    649,749.50x = 999,997 × 999,997
  4. Step 4: Simplify right side
    649,749.50x = 999,994,000,009
  5. Step 5: Solve for x
    x = 999,994,000,009/649,749.50
  6. Step 6: Final answer
    x = 1,539,045.43

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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.