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Finding the Third Proportional to 596,104 and 901,860

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Solution

The third proportional to 596,104 and 901,860 is: 1,364,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,104 : 901,860 = 901,860 : x
  2. Step 2: Convert to fraction form
    596,104/901,860 = 901,860/x
  3. Step 3: Cross multiply
    596,104x = 901,860 × 901,860
  4. Step 4: Simplify right side
    596,104x = 813,351,459,600
  5. Step 5: Solve for x
    x = 813,351,459,600/596,104
  6. Step 6: Final answer
    x = 1,364,445.57

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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.