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Finding the Third Proportional to 1,642,102 and 2,614,927

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Solution

The third proportional to 1,642,102 and 2,614,927 is: 4,164,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,102 : 2,614,927 = 2,614,927 : x
  2. Step 2: Convert to fraction form
    1,642,102/2,614,927 = 2,614,927/x
  3. Step 3: Cross multiply
    1,642,102x = 2,614,927 × 2,614,927
  4. Step 4: Simplify right side
    1,642,102x = 6,837,843,215,329
  5. Step 5: Solve for x
    x = 6,837,843,215,329/1,642,102
  6. Step 6: Final answer
    x = 4,164,079.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.