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Finding the Third Proportional to 976,698 and 2,028,252

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Solution

The third proportional to 976,698 and 2,028,252 is: 4,211,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,698 : 2,028,252 = 2,028,252 : x
  2. Step 2: Convert to fraction form
    976,698/2,028,252 = 2,028,252/x
  3. Step 3: Cross multiply
    976,698x = 2,028,252 × 2,028,252
  4. Step 4: Simplify right side
    976,698x = 4,113,806,175,504
  5. Step 5: Solve for x
    x = 4,113,806,175,504/976,698
  6. Step 6: Final answer
    x = 4,211,953.11

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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.