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Finding the Third Proportional to 606,036 and 909,054

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Solution

The third proportional to 606,036 and 909,054 is: 1,363,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,036 : 909,054 = 909,054 : x
  2. Step 2: Convert to fraction form
    606,036/909,054 = 909,054/x
  3. Step 3: Cross multiply
    606,036x = 909,054 × 909,054
  4. Step 4: Simplify right side
    606,036x = 826,379,174,916
  5. Step 5: Solve for x
    x = 826,379,174,916/606,036
  6. Step 6: Final answer
    x = 1,363,581

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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.