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Finding the Third Proportional to 596,118 and 901,881

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Solution

The third proportional to 596,118 and 901,881 is: 1,364,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,118 : 901,881 = 901,881 : x
  2. Step 2: Convert to fraction form
    596,118/901,881 = 901,881/x
  3. Step 3: Cross multiply
    596,118x = 901,881 × 901,881
  4. Step 4: Simplify right side
    596,118x = 813,389,338,161
  5. Step 5: Solve for x
    x = 813,389,338,161/596,118
  6. Step 6: Final answer
    x = 1,364,477.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.