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Finding the Third Proportional to 814,458 and 1,755,141

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Solution

The third proportional to 814,458 and 1,755,141 is: 3,782,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,458 : 1,755,141 = 1,755,141 : x
  2. Step 2: Convert to fraction form
    814,458/1,755,141 = 1,755,141/x
  3. Step 3: Cross multiply
    814,458x = 1,755,141 × 1,755,141
  4. Step 4: Simplify right side
    814,458x = 3,080,519,929,881
  5. Step 5: Solve for x
    x = 3,080,519,929,881/814,458
  6. Step 6: Final answer
    x = 3,782,294.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.