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Finding the Third Proportional to 604,033 and 906,001

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Solution

The third proportional to 604,033 and 906,001 is: 1,358,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,033 : 906,001 = 906,001 : x
  2. Step 2: Convert to fraction form
    604,033/906,001 = 906,001/x
  3. Step 3: Cross multiply
    604,033x = 906,001 × 906,001
  4. Step 4: Simplify right side
    604,033x = 820,837,812,001
  5. Step 5: Solve for x
    x = 820,837,812,001/604,033
  6. Step 6: Final answer
    x = 1,358,928.75

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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.