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Finding the Third Proportional to 628,800.47 and 1,363,943.81

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Solution

The third proportional to 628,800.47 and 1,363,943.81 is: 2,958,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,800.47 : 1,363,943.81 = 1,363,943.81 : x
  2. Step 2: Convert to fraction form
    628,800.47/1,363,943.81 = 1,363,943.81/x
  3. Step 3: Cross multiply
    628,800.47x = 1,363,943.81 × 1,363,943.81
  4. Step 4: Simplify right side
    628,800.47x = 1,860,342,723,657.04
  5. Step 5: Solve for x
    x = 1,860,342,723,657.04/628,800.47
  6. Step 6: Final answer
    x = 2,958,558.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.