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Finding the Third Proportional to 1,291,941 and 1,983,114

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Solution

The third proportional to 1,291,941 and 1,983,114 is: 3,044,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,941 : 1,983,114 = 1,983,114 : x
  2. Step 2: Convert to fraction form
    1,291,941/1,983,114 = 1,983,114/x
  3. Step 3: Cross multiply
    1,291,941x = 1,983,114 × 1,983,114
  4. Step 4: Simplify right side
    1,291,941x = 3,932,741,136,996
  5. Step 5: Solve for x
    x = 3,932,741,136,996/1,291,941
  6. Step 6: Final answer
    x = 3,044,056.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.