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Finding the Third Proportional to 600,744 and 810,900

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Solution

The third proportional to 600,744 and 810,900 is: 1,094,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,744 : 810,900 = 810,900 : x
  2. Step 2: Convert to fraction form
    600,744/810,900 = 810,900/x
  3. Step 3: Cross multiply
    600,744x = 810,900 × 810,900
  4. Step 4: Simplify right side
    600,744x = 657,558,810,000
  5. Step 5: Solve for x
    x = 657,558,810,000/600,744
  6. Step 6: Final answer
    x = 1,094,574.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.