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Finding the Third Proportional to 581,890 and 903,102

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Solution

The third proportional to 581,890 and 903,102 is: 1,401,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,890 : 903,102 = 903,102 : x
  2. Step 2: Convert to fraction form
    581,890/903,102 = 903,102/x
  3. Step 3: Cross multiply
    581,890x = 903,102 × 903,102
  4. Step 4: Simplify right side
    581,890x = 815,593,222,404
  5. Step 5: Solve for x
    x = 815,593,222,404/581,890
  6. Step 6: Final answer
    x = 1,401,627.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.