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Finding the Third Proportional to 436,098 and 965,460

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Solution

The third proportional to 436,098 and 965,460 is: 2,137,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,098 : 965,460 = 965,460 : x
  2. Step 2: Convert to fraction form
    436,098/965,460 = 965,460/x
  3. Step 3: Cross multiply
    436,098x = 965,460 × 965,460
  4. Step 4: Simplify right side
    436,098x = 932,113,011,600
  5. Step 5: Solve for x
    x = 932,113,011,600/436,098
  6. Step 6: Final answer
    x = 2,137,393.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.