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Finding the Third Proportional to 559,228 and 889,386

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Solution

The third proportional to 559,228 and 889,386 is: 1,414,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,228 : 889,386 = 889,386 : x
  2. Step 2: Convert to fraction form
    559,228/889,386 = 889,386/x
  3. Step 3: Cross multiply
    559,228x = 889,386 × 889,386
  4. Step 4: Simplify right side
    559,228x = 791,007,456,996
  5. Step 5: Solve for x
    x = 791,007,456,996/559,228
  6. Step 6: Final answer
    x = 1,414,463.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.