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Finding the Third Proportional to 1,294,717 and 2,026,586

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Solution

The third proportional to 1,294,717 and 2,026,586 is: 3,172,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,717 : 2,026,586 = 2,026,586 : x
  2. Step 2: Convert to fraction form
    1,294,717/2,026,586 = 2,026,586/x
  3. Step 3: Cross multiply
    1,294,717x = 2,026,586 × 2,026,586
  4. Step 4: Simplify right side
    1,294,717x = 4,107,050,815,396
  5. Step 5: Solve for x
    x = 4,107,050,815,396/1,294,717
  6. Step 6: Final answer
    x = 3,172,161.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.