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Finding the Third Proportional to 581,886 and 903,096

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Solution

The third proportional to 581,886 and 903,096 is: 1,401,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,886 : 903,096 = 903,096 : x
  2. Step 2: Convert to fraction form
    581,886/903,096 = 903,096/x
  3. Step 3: Cross multiply
    581,886x = 903,096 × 903,096
  4. Step 4: Simplify right side
    581,886x = 815,582,385,216
  5. Step 5: Solve for x
    x = 815,582,385,216/581,886
  6. Step 6: Final answer
    x = 1,401,618.85

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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.