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Finding the Third Proportional to 606,913 and 906,213

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Solution

The third proportional to 606,913 and 906,213 is: 1,353,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,913 : 906,213 = 906,213 : x
  2. Step 2: Convert to fraction form
    606,913/906,213 = 906,213/x
  3. Step 3: Cross multiply
    606,913x = 906,213 × 906,213
  4. Step 4: Simplify right side
    606,913x = 821,222,001,369
  5. Step 5: Solve for x
    x = 821,222,001,369/606,913
  6. Step 6: Final answer
    x = 1,353,113.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.