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Finding the Third Proportional to 803,764 and 1,733,725

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Solution

The third proportional to 803,764 and 1,733,725 is: 3,739,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,764 : 1,733,725 = 1,733,725 : x
  2. Step 2: Convert to fraction form
    803,764/1,733,725 = 1,733,725/x
  3. Step 3: Cross multiply
    803,764x = 1,733,725 × 1,733,725
  4. Step 4: Simplify right side
    803,764x = 3,005,802,375,625
  5. Step 5: Solve for x
    x = 3,005,802,375,625/803,764
  6. Step 6: Final answer
    x = 3,739,657.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.