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Finding the Third Proportional to 604,065 and 906,039

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Solution

The third proportional to 604,065 and 906,039 is: 1,358,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,065 : 906,039 = 906,039 : x
  2. Step 2: Convert to fraction form
    604,065/906,039 = 906,039/x
  3. Step 3: Cross multiply
    604,065x = 906,039 × 906,039
  4. Step 4: Simplify right side
    604,065x = 820,906,669,521
  5. Step 5: Solve for x
    x = 820,906,669,521/604,065
  6. Step 6: Final answer
    x = 1,358,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.