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Finding the Third Proportional to 699,847 and 1,049,581.50

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Solution

The third proportional to 699,847 and 1,049,581.50 is: 1,574,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,847 : 1,049,581.50 = 1,049,581.50 : x
  2. Step 2: Convert to fraction form
    699,847/1,049,581.50 = 1,049,581.50/x
  3. Step 3: Cross multiply
    699,847x = 1,049,581.50 × 1,049,581.50
  4. Step 4: Simplify right side
    699,847x = 1,101,621,325,142.25
  5. Step 5: Solve for x
    x = 1,101,621,325,142.25/699,847
  6. Step 6: Final answer
    x = 1,574,088.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.