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Finding the Third Proportional to 594,931 and 906,337

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Solution

The third proportional to 594,931 and 906,337 is: 1,380,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,931 : 906,337 = 906,337 : x
  2. Step 2: Convert to fraction form
    594,931/906,337 = 906,337/x
  3. Step 3: Cross multiply
    594,931x = 906,337 × 906,337
  4. Step 4: Simplify right side
    594,931x = 821,446,757,569
  5. Step 5: Solve for x
    x = 821,446,757,569/594,931
  6. Step 6: Final answer
    x = 1,380,742.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.