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Finding the Third Proportional to 594,980 and 906,416

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Solution

The third proportional to 594,980 and 906,416 is: 1,380,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,980 : 906,416 = 906,416 : x
  2. Step 2: Convert to fraction form
    594,980/906,416 = 906,416/x
  3. Step 3: Cross multiply
    594,980x = 906,416 × 906,416
  4. Step 4: Simplify right side
    594,980x = 821,589,965,056
  5. Step 5: Solve for x
    x = 821,589,965,056/594,980
  6. Step 6: Final answer
    x = 1,380,869.89

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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.