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Finding the Third Proportional to 3,829,974 and 5,824,539

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Solution

The third proportional to 3,829,974 and 5,824,539 is: 8,857,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,974 : 5,824,539 = 5,824,539 : x
  2. Step 2: Convert to fraction form
    3,829,974/5,824,539 = 5,824,539/x
  3. Step 3: Cross multiply
    3,829,974x = 5,824,539 × 5,824,539
  4. Step 4: Simplify right side
    3,829,974x = 33,925,254,562,521
  5. Step 5: Solve for x
    x = 33,925,254,562,521/3,829,974
  6. Step 6: Final answer
    x = 8,857,828.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.