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Finding the Third Proportional to 606,768 and 942,123

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Solution

The third proportional to 606,768 and 942,123 is: 1,462,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,768 : 942,123 = 942,123 : x
  2. Step 2: Convert to fraction form
    606,768/942,123 = 942,123/x
  3. Step 3: Cross multiply
    606,768x = 942,123 × 942,123
  4. Step 4: Simplify right side
    606,768x = 887,595,747,129
  5. Step 5: Solve for x
    x = 887,595,747,129/606,768
  6. Step 6: Final answer
    x = 1,462,825.57

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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.