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Finding the Third Proportional to 606,770 and 942,126

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Solution

The third proportional to 606,770 and 942,126 is: 1,462,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,770 : 942,126 = 942,126 : x
  2. Step 2: Convert to fraction form
    606,770/942,126 = 942,126/x
  3. Step 3: Cross multiply
    606,770x = 942,126 × 942,126
  4. Step 4: Simplify right side
    606,770x = 887,601,399,876
  5. Step 5: Solve for x
    x = 887,601,399,876/606,770
  6. Step 6: Final answer
    x = 1,462,830.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.