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Finding the Third Proportional to 940,196 and 1,370,908

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Solution

The third proportional to 940,196 and 1,370,908 is: 1,998,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,196 : 1,370,908 = 1,370,908 : x
  2. Step 2: Convert to fraction form
    940,196/1,370,908 = 1,370,908/x
  3. Step 3: Cross multiply
    940,196x = 1,370,908 × 1,370,908
  4. Step 4: Simplify right side
    940,196x = 1,879,388,744,464
  5. Step 5: Solve for x
    x = 1,879,388,744,464/940,196
  6. Step 6: Final answer
    x = 1,998,932.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.