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Finding the Third Proportional to 750,192 and 1,642,682

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Solution

The third proportional to 750,192 and 1,642,682 is: 3,596,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,192 : 1,642,682 = 1,642,682 : x
  2. Step 2: Convert to fraction form
    750,192/1,642,682 = 1,642,682/x
  3. Step 3: Cross multiply
    750,192x = 1,642,682 × 1,642,682
  4. Step 4: Simplify right side
    750,192x = 2,698,404,153,124
  5. Step 5: Solve for x
    x = 2,698,404,153,124/750,192
  6. Step 6: Final answer
    x = 3,596,951.38

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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.