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Finding the Third Proportional to 784,623.66 and 1,663,408.41

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Solution

The third proportional to 784,623.66 and 1,663,408.41 is: 3,526,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,623.66 : 1,663,408.41 = 1,663,408.41 : x
  2. Step 2: Convert to fraction form
    784,623.66/1,663,408.41 = 1,663,408.41/x
  3. Step 3: Cross multiply
    784,623.66x = 1,663,408.41 × 1,663,408.41
  4. Step 4: Simplify right side
    784,623.66x = 2,766,927,525,983.17
  5. Step 5: Solve for x
    x = 2,766,927,525,983.17/784,623.66
  6. Step 6: Final answer
    x = 3,526,439.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.