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Finding the Third Proportional to 1,706,704 and 3,734,816

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Solution

The third proportional to 1,706,704 and 3,734,816 is: 8,172,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,704 : 3,734,816 = 3,734,816 : x
  2. Step 2: Convert to fraction form
    1,706,704/3,734,816 = 3,734,816/x
  3. Step 3: Cross multiply
    1,706,704x = 3,734,816 × 3,734,816
  4. Step 4: Simplify right side
    1,706,704x = 13,948,850,553,856
  5. Step 5: Solve for x
    x = 13,948,850,553,856/1,706,704
  6. Step 6: Final answer
    x = 8,172,975.84

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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.