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Finding the Third Proportional to 437,657 and 942,266

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Solution

The third proportional to 437,657 and 942,266 is: 2,028,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,657 : 942,266 = 942,266 : x
  2. Step 2: Convert to fraction form
    437,657/942,266 = 942,266/x
  3. Step 3: Cross multiply
    437,657x = 942,266 × 942,266
  4. Step 4: Simplify right side
    437,657x = 887,865,214,756
  5. Step 5: Solve for x
    x = 887,865,214,756/437,657
  6. Step 6: Final answer
    x = 2,028,678.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.