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Finding the Third Proportional to 369,177 and 869,229

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Solution

The third proportional to 369,177 and 869,229 is: 2,046,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,177 : 869,229 = 869,229 : x
  2. Step 2: Convert to fraction form
    369,177/869,229 = 869,229/x
  3. Step 3: Cross multiply
    369,177x = 869,229 × 869,229
  4. Step 4: Simplify right side
    369,177x = 755,559,054,441
  5. Step 5: Solve for x
    x = 755,559,054,441/369,177
  6. Step 6: Final answer
    x = 2,046,603.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.