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Finding the Third Proportional to 982,977 and 2,116,731

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Solution

The third proportional to 982,977 and 2,116,731 is: 4,558,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,977 : 2,116,731 = 2,116,731 : x
  2. Step 2: Convert to fraction form
    982,977/2,116,731 = 2,116,731/x
  3. Step 3: Cross multiply
    982,977x = 2,116,731 × 2,116,731
  4. Step 4: Simplify right side
    982,977x = 4,480,550,126,361
  5. Step 5: Solve for x
    x = 4,480,550,126,361/982,977
  6. Step 6: Final answer
    x = 4,558,143.40

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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.