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Finding the Third Proportional to 883,364 and 1,906,614

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Solution

The third proportional to 883,364 and 1,906,614 is: 4,115,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,364 : 1,906,614 = 1,906,614 : x
  2. Step 2: Convert to fraction form
    883,364/1,906,614 = 1,906,614/x
  3. Step 3: Cross multiply
    883,364x = 1,906,614 × 1,906,614
  4. Step 4: Simplify right side
    883,364x = 3,635,176,944,996
  5. Step 5: Solve for x
    x = 3,635,176,944,996/883,364
  6. Step 6: Final answer
    x = 4,115,151.79

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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.