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Finding the Third Proportional to 438,436 and 942,141

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Solution

The third proportional to 438,436 and 942,141 is: 2,024,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,436 : 942,141 = 942,141 : x
  2. Step 2: Convert to fraction form
    438,436/942,141 = 942,141/x
  3. Step 3: Cross multiply
    438,436x = 942,141 × 942,141
  4. Step 4: Simplify right side
    438,436x = 887,629,663,881
  5. Step 5: Solve for x
    x = 887,629,663,881/438,436
  6. Step 6: Final answer
    x = 2,024,536.45

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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.