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Finding the Third Proportional to 589,392 and 901,005

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Solution

The third proportional to 589,392 and 901,005 is: 1,377,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,392 : 901,005 = 901,005 : x
  2. Step 2: Convert to fraction form
    589,392/901,005 = 901,005/x
  3. Step 3: Cross multiply
    589,392x = 901,005 × 901,005
  4. Step 4: Simplify right side
    589,392x = 811,810,010,025
  5. Step 5: Solve for x
    x = 811,810,010,025/589,392
  6. Step 6: Final answer
    x = 1,377,368.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.