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Finding the Third Proportional to 594,912 and 906,306

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Solution

The third proportional to 594,912 and 906,306 is: 1,380,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,912 : 906,306 = 906,306 : x
  2. Step 2: Convert to fraction form
    594,912/906,306 = 906,306/x
  3. Step 3: Cross multiply
    594,912x = 906,306 × 906,306
  4. Step 4: Simplify right side
    594,912x = 821,390,565,636
  5. Step 5: Solve for x
    x = 821,390,565,636/594,912
  6. Step 6: Final answer
    x = 1,380,692.55

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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.