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Finding the Third Proportional to 1,664,468 and 3,581,740

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Solution

The third proportional to 1,664,468 and 3,581,740 is: 7,707,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,468 : 3,581,740 = 3,581,740 : x
  2. Step 2: Convert to fraction form
    1,664,468/3,581,740 = 3,581,740/x
  3. Step 3: Cross multiply
    1,664,468x = 3,581,740 × 3,581,740
  4. Step 4: Simplify right side
    1,664,468x = 12,828,861,427,600
  5. Step 5: Solve for x
    x = 12,828,861,427,600/1,664,468
  6. Step 6: Final answer
    x = 7,707,484.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.