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Finding the Third Proportional to 581,888 and 903,099

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Solution

The third proportional to 581,888 and 903,099 is: 1,401,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,888 : 903,099 = 903,099 : x
  2. Step 2: Convert to fraction form
    581,888/903,099 = 903,099/x
  3. Step 3: Cross multiply
    581,888x = 903,099 × 903,099
  4. Step 4: Simplify right side
    581,888x = 815,587,803,801
  5. Step 5: Solve for x
    x = 815,587,803,801/581,888
  6. Step 6: Final answer
    x = 1,401,623.34

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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.