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Finding the Third Proportional to 761,434 and 1,637,698

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Solution

The third proportional to 761,434 and 1,637,698 is: 3,522,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,434 : 1,637,698 = 1,637,698 : x
  2. Step 2: Convert to fraction form
    761,434/1,637,698 = 1,637,698/x
  3. Step 3: Cross multiply
    761,434x = 1,637,698 × 1,637,698
  4. Step 4: Simplify right side
    761,434x = 2,682,054,739,204
  5. Step 5: Solve for x
    x = 2,682,054,739,204/761,434
  6. Step 6: Final answer
    x = 3,522,373.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.