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Finding the Third Proportional to 606,102 and 909,153

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Solution

The third proportional to 606,102 and 909,153 is: 1,363,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,102 : 909,153 = 909,153 : x
  2. Step 2: Convert to fraction form
    606,102/909,153 = 909,153/x
  3. Step 3: Cross multiply
    606,102x = 909,153 × 909,153
  4. Step 4: Simplify right side
    606,102x = 826,559,177,409
  5. Step 5: Solve for x
    x = 826,559,177,409/606,102
  6. Step 6: Final answer
    x = 1,363,729.50

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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.