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Finding the Third Proportional to 701,226 and 1,535,930

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Solution

The third proportional to 701,226 and 1,535,930 is: 3,364,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,226 : 1,535,930 = 1,535,930 : x
  2. Step 2: Convert to fraction form
    701,226/1,535,930 = 1,535,930/x
  3. Step 3: Cross multiply
    701,226x = 1,535,930 × 1,535,930
  4. Step 4: Simplify right side
    701,226x = 2,359,080,964,900
  5. Step 5: Solve for x
    x = 2,359,080,964,900/701,226
  6. Step 6: Final answer
    x = 3,364,223.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.