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Finding the Third Proportional to 976,816 and 2,028,464

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Solution

The third proportional to 976,816 and 2,028,464 is: 4,212,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,816 : 2,028,464 = 2,028,464 : x
  2. Step 2: Convert to fraction form
    976,816/2,028,464 = 2,028,464/x
  3. Step 3: Cross multiply
    976,816x = 2,028,464 × 2,028,464
  4. Step 4: Simplify right side
    976,816x = 4,114,666,199,296
  5. Step 5: Solve for x
    x = 4,114,666,199,296/976,816
  6. Step 6: Final answer
    x = 4,212,324.74

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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.