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Finding the Third Proportional to 976,820 and 2,028,472

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Solution

The third proportional to 976,820 and 2,028,472 is: 4,212,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,820 : 2,028,472 = 2,028,472 : x
  2. Step 2: Convert to fraction form
    976,820/2,028,472 = 2,028,472/x
  3. Step 3: Cross multiply
    976,820x = 2,028,472 × 2,028,472
  4. Step 4: Simplify right side
    976,820x = 4,114,698,654,784
  5. Step 5: Solve for x
    x = 4,114,698,654,784/976,820
  6. Step 6: Final answer
    x = 4,212,340.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.