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Finding the Third Proportional to 1,581,834 and 3,732,564

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Solution

The third proportional to 1,581,834 and 3,732,564 is: 8,807,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,834 : 3,732,564 = 3,732,564 : x
  2. Step 2: Convert to fraction form
    1,581,834/3,732,564 = 3,732,564/x
  3. Step 3: Cross multiply
    1,581,834x = 3,732,564 × 3,732,564
  4. Step 4: Simplify right side
    1,581,834x = 13,932,034,014,096
  5. Step 5: Solve for x
    x = 13,932,034,014,096/1,581,834
  6. Step 6: Final answer
    x = 8,807,519.63

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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.