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Finding the Third Proportional to 589,126 and 900,808

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Solution

The third proportional to 589,126 and 900,808 is: 1,377,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,126 : 900,808 = 900,808 : x
  2. Step 2: Convert to fraction form
    589,126/900,808 = 900,808/x
  3. Step 3: Cross multiply
    589,126x = 900,808 × 900,808
  4. Step 4: Simplify right side
    589,126x = 811,455,052,864
  5. Step 5: Solve for x
    x = 811,455,052,864/589,126
  6. Step 6: Final answer
    x = 1,377,387.95

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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.