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Finding the Third Proportional to 997,102 and 2,162,444

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Solution

The third proportional to 997,102 and 2,162,444 is: 4,689,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,102 : 2,162,444 = 2,162,444 : x
  2. Step 2: Convert to fraction form
    997,102/2,162,444 = 2,162,444/x
  3. Step 3: Cross multiply
    997,102x = 2,162,444 × 2,162,444
  4. Step 4: Simplify right side
    997,102x = 4,676,164,053,136
  5. Step 5: Solve for x
    x = 4,676,164,053,136/997,102
  6. Step 6: Final answer
    x = 4,689,754.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.