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Finding the Third Proportional to 796,698 and 1,726,297

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Solution

The third proportional to 796,698 and 1,726,297 is: 3,740,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,698 : 1,726,297 = 1,726,297 : x
  2. Step 2: Convert to fraction form
    796,698/1,726,297 = 1,726,297/x
  3. Step 3: Cross multiply
    796,698x = 1,726,297 × 1,726,297
  4. Step 4: Simplify right side
    796,698x = 2,980,101,332,209
  5. Step 5: Solve for x
    x = 2,980,101,332,209/796,698
  6. Step 6: Final answer
    x = 3,740,565.85

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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.