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Finding the Third Proportional to 606,128 and 909,192

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Solution

The third proportional to 606,128 and 909,192 is: 1,363,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,128 : 909,192 = 909,192 : x
  2. Step 2: Convert to fraction form
    606,128/909,192 = 909,192/x
  3. Step 3: Cross multiply
    606,128x = 909,192 × 909,192
  4. Step 4: Simplify right side
    606,128x = 826,630,092,864
  5. Step 5: Solve for x
    x = 826,630,092,864/606,128
  6. Step 6: Final answer
    x = 1,363,788

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.