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Finding the Third Proportional to 647,463.38 and 1,408,341.38

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Solution

The third proportional to 647,463.38 and 1,408,341.38 is: 3,063,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,463.38 : 1,408,341.38 = 1,408,341.38 : x
  2. Step 2: Convert to fraction form
    647,463.38/1,408,341.38 = 1,408,341.38/x
  3. Step 3: Cross multiply
    647,463.38x = 1,408,341.38 × 1,408,341.38
  4. Step 4: Simplify right side
    647,463.38x = 1,983,425,428,536.89
  5. Step 5: Solve for x
    x = 1,983,425,428,536.89/647,463.38
  6. Step 6: Final answer
    x = 3,063,378.57

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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.