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Finding the Third Proportional to 811,176.75 and 1,877,823

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Solution

The third proportional to 811,176.75 and 1,877,823 is: 4,347,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,176.75 : 1,877,823 = 1,877,823 : x
  2. Step 2: Convert to fraction form
    811,176.75/1,877,823 = 1,877,823/x
  3. Step 3: Cross multiply
    811,176.75x = 1,877,823 × 1,877,823
  4. Step 4: Simplify right side
    811,176.75x = 3,526,219,219,329
  5. Step 5: Solve for x
    x = 3,526,219,219,329/811,176.75
  6. Step 6: Final answer
    x = 4,347,041.78

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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.