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Finding the Third Proportional to 3,643,842 and 5,436,323

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Solution

The third proportional to 3,643,842 and 5,436,323 is: 8,110,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,842 : 5,436,323 = 5,436,323 : x
  2. Step 2: Convert to fraction form
    3,643,842/5,436,323 = 5,436,323/x
  3. Step 3: Cross multiply
    3,643,842x = 5,436,323 × 5,436,323
  4. Step 4: Simplify right side
    3,643,842x = 29,553,607,760,329
  5. Step 5: Solve for x
    x = 29,553,607,760,329/3,643,842
  6. Step 6: Final answer
    x = 8,110,562.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.