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Finding the Third Proportional to 1,021,924 and 2,149,684

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Solution

The third proportional to 1,021,924 and 2,149,684 is: 4,522,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,924 : 2,149,684 = 2,149,684 : x
  2. Step 2: Convert to fraction form
    1,021,924/2,149,684 = 2,149,684/x
  3. Step 3: Cross multiply
    1,021,924x = 2,149,684 × 2,149,684
  4. Step 4: Simplify right side
    1,021,924x = 4,621,141,299,856
  5. Step 5: Solve for x
    x = 4,621,141,299,856/1,021,924
  6. Step 6: Final answer
    x = 4,522,000.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.