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Finding the Third Proportional to 996,940 and 1,462,098

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Solution

The third proportional to 996,940 and 1,462,098 is: 2,144,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,940 : 1,462,098 = 1,462,098 : x
  2. Step 2: Convert to fraction form
    996,940/1,462,098 = 1,462,098/x
  3. Step 3: Cross multiply
    996,940x = 1,462,098 × 1,462,098
  4. Step 4: Simplify right side
    996,940x = 2,137,730,561,604
  5. Step 5: Solve for x
    x = 2,137,730,561,604/996,940
  6. Step 6: Final answer
    x = 2,144,292.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.