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Finding the Third Proportional to 1,565,106.05 and 3,397,891.78

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Solution

The third proportional to 1,565,106.05 and 3,397,891.78 is: 7,376,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,106.05 : 3,397,891.78 = 3,397,891.78 : x
  2. Step 2: Convert to fraction form
    1,565,106.05/3,397,891.78 = 3,397,891.78/x
  3. Step 3: Cross multiply
    1,565,106.05x = 3,397,891.78 × 3,397,891.78
  4. Step 4: Simplify right side
    1,565,106.05x = 11,545,668,557,086.30
  5. Step 5: Solve for x
    x = 11,545,668,557,086.30/1,565,106.05
  6. Step 6: Final answer
    x = 7,376,924.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.