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Finding the Third Proportional to 865,885.50 and 2,004,297.75

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Solution

The third proportional to 865,885.50 and 2,004,297.75 is: 4,639,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,885.50 : 2,004,297.75 = 2,004,297.75 : x
  2. Step 2: Convert to fraction form
    865,885.50/2,004,297.75 = 2,004,297.75/x
  3. Step 3: Cross multiply
    865,885.50x = 2,004,297.75 × 2,004,297.75
  4. Step 4: Simplify right side
    865,885.50x = 4,017,209,470,655.06
  5. Step 5: Solve for x
    x = 4,017,209,470,655.06/865,885.50
  6. Step 6: Final answer
    x = 4,639,423.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.