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Finding the Third Proportional to 997,104 and 2,176,944

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Solution

The third proportional to 997,104 and 2,176,944 is: 4,752,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,104 : 2,176,944 = 2,176,944 : x
  2. Step 2: Convert to fraction form
    997,104/2,176,944 = 2,176,944/x
  3. Step 3: Cross multiply
    997,104x = 2,176,944 × 2,176,944
  4. Step 4: Simplify right side
    997,104x = 4,739,085,179,136
  5. Step 5: Solve for x
    x = 4,739,085,179,136/997,104
  6. Step 6: Final answer
    x = 4,752,849.43

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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.