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Finding the Third Proportional to 1,022,847.75 and 1,534,271.63

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Solution

The third proportional to 1,022,847.75 and 1,534,271.63 is: 2,301,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,847.75 : 1,534,271.63 = 1,534,271.63 : x
  2. Step 2: Convert to fraction form
    1,022,847.75/1,534,271.63 = 1,534,271.63/x
  3. Step 3: Cross multiply
    1,022,847.75x = 1,534,271.63 × 1,534,271.63
  4. Step 4: Simplify right side
    1,022,847.75x = 2,353,989,419,280.14
  5. Step 5: Solve for x
    x = 2,353,989,419,280.14/1,022,847.75
  6. Step 6: Final answer
    x = 2,301,407.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.