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Finding the Third Proportional to 976,692 and 2,028,240

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Solution

The third proportional to 976,692 and 2,028,240 is: 4,211,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,692 : 2,028,240 = 2,028,240 : x
  2. Step 2: Convert to fraction form
    976,692/2,028,240 = 2,028,240/x
  3. Step 3: Cross multiply
    976,692x = 2,028,240 × 2,028,240
  4. Step 4: Simplify right side
    976,692x = 4,113,757,497,600
  5. Step 5: Solve for x
    x = 4,113,757,497,600/976,692
  6. Step 6: Final answer
    x = 4,211,929.14

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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.