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Finding the Third Proportional to 581,889 and 903,092

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Solution

The third proportional to 581,889 and 903,092 is: 1,401,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,889 : 903,092 = 903,092 : x
  2. Step 2: Convert to fraction form
    581,889/903,092 = 903,092/x
  3. Step 3: Cross multiply
    581,889x = 903,092 × 903,092
  4. Step 4: Simplify right side
    581,889x = 815,575,160,464
  5. Step 5: Solve for x
    x = 815,575,160,464/581,889
  6. Step 6: Final answer
    x = 1,401,599.21

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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.