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Finding the Third Proportional to 572,420 and 906,194

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Solution

The third proportional to 572,420 and 906,194 is: 1,434,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,420 : 906,194 = 906,194 : x
  2. Step 2: Convert to fraction form
    572,420/906,194 = 906,194/x
  3. Step 3: Cross multiply
    572,420x = 906,194 × 906,194
  4. Step 4: Simplify right side
    572,420x = 821,187,565,636
  5. Step 5: Solve for x
    x = 821,187,565,636/572,420
  6. Step 6: Final answer
    x = 1,434,589.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.