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Finding the Third Proportional to 784,904 and 1,695,286

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Solution

The third proportional to 784,904 and 1,695,286 is: 3,661,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,904 : 1,695,286 = 1,695,286 : x
  2. Step 2: Convert to fraction form
    784,904/1,695,286 = 1,695,286/x
  3. Step 3: Cross multiply
    784,904x = 1,695,286 × 1,695,286
  4. Step 4: Simplify right side
    784,904x = 2,873,994,621,796
  5. Step 5: Solve for x
    x = 2,873,994,621,796/784,904
  6. Step 6: Final answer
    x = 3,661,587.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.