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Finding the Third Proportional to 569,944 and 889,422

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Solution

The third proportional to 569,944 and 889,422 is: 1,387,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,944 : 889,422 = 889,422 : x
  2. Step 2: Convert to fraction form
    569,944/889,422 = 889,422/x
  3. Step 3: Cross multiply
    569,944x = 889,422 × 889,422
  4. Step 4: Simplify right side
    569,944x = 791,071,494,084
  5. Step 5: Solve for x
    x = 791,071,494,084/569,944
  6. Step 6: Final answer
    x = 1,387,981.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.