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Finding the Third Proportional to 982,098 and 2,114,370

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Solution

The third proportional to 982,098 and 2,114,370 is: 4,552,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,098 : 2,114,370 = 2,114,370 : x
  2. Step 2: Convert to fraction form
    982,098/2,114,370 = 2,114,370/x
  3. Step 3: Cross multiply
    982,098x = 2,114,370 × 2,114,370
  4. Step 4: Simplify right side
    982,098x = 4,470,560,496,900
  5. Step 5: Solve for x
    x = 4,470,560,496,900/982,098
  6. Step 6: Final answer
    x = 4,552,051.32

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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.