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Finding the Third Proportional to 811,165 and 1,877,788

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Solution

The third proportional to 811,165 and 1,877,788 is: 4,346,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,165 : 1,877,788 = 1,877,788 : x
  2. Step 2: Convert to fraction form
    811,165/1,877,788 = 1,877,788/x
  3. Step 3: Cross multiply
    811,165x = 1,877,788 × 1,877,788
  4. Step 4: Simplify right side
    811,165x = 3,526,087,772,944
  5. Step 5: Solve for x
    x = 3,526,087,772,944/811,165
  6. Step 6: Final answer
    x = 4,346,942.70

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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.