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Finding the Third Proportional to 811,167 and 1,877,793

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Solution

The third proportional to 811,167 and 1,877,793 is: 4,346,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,167 : 1,877,793 = 1,877,793 : x
  2. Step 2: Convert to fraction form
    811,167/1,877,793 = 1,877,793/x
  3. Step 3: Cross multiply
    811,167x = 1,877,793 × 1,877,793
  4. Step 4: Simplify right side
    811,167x = 3,526,106,550,849
  5. Step 5: Solve for x
    x = 3,526,106,550,849/811,167
  6. Step 6: Final answer
    x = 4,346,955.13

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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.