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Finding the Third Proportional to 811,163 and 1,877,783

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Solution

The third proportional to 811,163 and 1,877,783 is: 4,346,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,163 : 1,877,783 = 1,877,783 : x
  2. Step 2: Convert to fraction form
    811,163/1,877,783 = 1,877,783/x
  3. Step 3: Cross multiply
    811,163x = 1,877,783 × 1,877,783
  4. Step 4: Simplify right side
    811,163x = 3,526,068,995,089
  5. Step 5: Solve for x
    x = 3,526,068,995,089/811,163
  6. Step 6: Final answer
    x = 4,346,930.27

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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.