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Finding the Third Proportional to 581,894 and 903,108

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Solution

The third proportional to 581,894 and 903,108 is: 1,401,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,894 : 903,108 = 903,108 : x
  2. Step 2: Convert to fraction form
    581,894/903,108 = 903,108/x
  3. Step 3: Cross multiply
    581,894x = 903,108 × 903,108
  4. Step 4: Simplify right side
    581,894x = 815,604,059,664
  5. Step 5: Solve for x
    x = 815,604,059,664/581,894
  6. Step 6: Final answer
    x = 1,401,636.83

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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.