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Finding the Third Proportional to 438,433 and 942,134

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Solution

The third proportional to 438,433 and 942,134 is: 2,024,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,433 : 942,134 = 942,134 : x
  2. Step 2: Convert to fraction form
    438,433/942,134 = 942,134/x
  3. Step 3: Cross multiply
    438,433x = 942,134 × 942,134
  4. Step 4: Simplify right side
    438,433x = 887,616,473,956
  5. Step 5: Solve for x
    x = 887,616,473,956/438,433
  6. Step 6: Final answer
    x = 2,024,520.22

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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.