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Finding the Third Proportional to 976,361 and 2,000,289.25

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Solution

The third proportional to 976,361 and 2,000,289.25 is: 4,098,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,361 : 2,000,289.25 = 2,000,289.25 : x
  2. Step 2: Convert to fraction form
    976,361/2,000,289.25 = 2,000,289.25/x
  3. Step 3: Cross multiply
    976,361x = 2,000,289.25 × 2,000,289.25
  4. Step 4: Simplify right side
    976,361x = 4,001,157,083,665.56
  5. Step 5: Solve for x
    x = 4,001,157,083,665.56/976,361
  6. Step 6: Final answer
    x = 4,098,030.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.