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Finding the Third Proportional to 632,180 and 1,369,336

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Solution

The third proportional to 632,180 and 1,369,336 is: 2,966,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,180 : 1,369,336 = 1,369,336 : x
  2. Step 2: Convert to fraction form
    632,180/1,369,336 = 1,369,336/x
  3. Step 3: Cross multiply
    632,180x = 1,369,336 × 1,369,336
  4. Step 4: Simplify right side
    632,180x = 1,875,081,080,896
  5. Step 5: Solve for x
    x = 1,875,081,080,896/632,180
  6. Step 6: Final answer
    x = 2,966,055.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.