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Finding the Third Proportional to 594,987 and 906,426

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Solution

The third proportional to 594,987 and 906,426 is: 1,380,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,987 : 906,426 = 906,426 : x
  2. Step 2: Convert to fraction form
    594,987/906,426 = 906,426/x
  3. Step 3: Cross multiply
    594,987x = 906,426 × 906,426
  4. Step 4: Simplify right side
    594,987x = 821,608,093,476
  5. Step 5: Solve for x
    x = 821,608,093,476/594,987
  6. Step 6: Final answer
    x = 1,380,884.11

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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.