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Finding the Third Proportional to 647,204.63 and 1,408,039.31

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Solution

The third proportional to 647,204.63 and 1,408,039.31 is: 3,063,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,204.63 : 1,408,039.31 = 1,408,039.31 : x
  2. Step 2: Convert to fraction form
    647,204.63/1,408,039.31 = 1,408,039.31/x
  3. Step 3: Cross multiply
    647,204.63x = 1,408,039.31 × 1,408,039.31
  4. Step 4: Simplify right side
    647,204.63x = 1,982,574,705,545.47
  5. Step 5: Solve for x
    x = 1,982,574,705,545.47/647,204.63
  6. Step 6: Final answer
    x = 3,063,288.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.