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Finding the Third Proportional to 889,920 and 1,906,464

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Solution

The third proportional to 889,920 and 1,906,464 is: 4,084,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,920 : 1,906,464 = 1,906,464 : x
  2. Step 2: Convert to fraction form
    889,920/1,906,464 = 1,906,464/x
  3. Step 3: Cross multiply
    889,920x = 1,906,464 × 1,906,464
  4. Step 4: Simplify right side
    889,920x = 3,634,604,983,296
  5. Step 5: Solve for x
    x = 3,634,604,983,296/889,920
  6. Step 6: Final answer
    x = 4,084,192.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.