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Finding the Third Proportional to 669,894 and 1,305,958.50

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Solution

The third proportional to 669,894 and 1,305,958.50 is: 2,545,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,894 : 1,305,958.50 = 1,305,958.50 : x
  2. Step 2: Convert to fraction form
    669,894/1,305,958.50 = 1,305,958.50/x
  3. Step 3: Cross multiply
    669,894x = 1,305,958.50 × 1,305,958.50
  4. Step 4: Simplify right side
    669,894x = 1,705,527,603,722.25
  5. Step 5: Solve for x
    x = 1,705,527,603,722.25/669,894
  6. Step 6: Final answer
    x = 2,545,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.