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Finding the Third Proportional to 606,130 and 909,195

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Solution

The third proportional to 606,130 and 909,195 is: 1,363,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,130 : 909,195 = 909,195 : x
  2. Step 2: Convert to fraction form
    606,130/909,195 = 909,195/x
  3. Step 3: Cross multiply
    606,130x = 909,195 × 909,195
  4. Step 4: Simplify right side
    606,130x = 826,635,548,025
  5. Step 5: Solve for x
    x = 826,635,548,025/606,130
  6. Step 6: Final answer
    x = 1,363,792.50

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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.