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Finding the Third Proportional to 991,936 and 2,161,020

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Solution

The third proportional to 991,936 and 2,161,020 is: 4,707,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,936 : 2,161,020 = 2,161,020 : x
  2. Step 2: Convert to fraction form
    991,936/2,161,020 = 2,161,020/x
  3. Step 3: Cross multiply
    991,936x = 2,161,020 × 2,161,020
  4. Step 4: Simplify right side
    991,936x = 4,670,007,440,400
  5. Step 5: Solve for x
    x = 4,670,007,440,400/991,936
  6. Step 6: Final answer
    x = 4,707,972.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.