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Finding the Third Proportional to 1,690,470 and 3,986,559

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Solution

The third proportional to 1,690,470 and 3,986,559 is: 9,401,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,470 : 3,986,559 = 3,986,559 : x
  2. Step 2: Convert to fraction form
    1,690,470/3,986,559 = 3,986,559/x
  3. Step 3: Cross multiply
    1,690,470x = 3,986,559 × 3,986,559
  4. Step 4: Simplify right side
    1,690,470x = 15,892,652,660,481
  5. Step 5: Solve for x
    x = 15,892,652,660,481/1,690,470
  6. Step 6: Final answer
    x = 9,401,321.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.