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Finding the Third Proportional to 1,082,027.53 and 1,688,548.78

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Solution

The third proportional to 1,082,027.53 and 1,688,548.78 is: 2,635,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,027.53 : 1,688,548.78 = 1,688,548.78 : x
  2. Step 2: Convert to fraction form
    1,082,027.53/1,688,548.78 = 1,688,548.78/x
  3. Step 3: Cross multiply
    1,082,027.53x = 1,688,548.78 × 1,688,548.78
  4. Step 4: Simplify right side
    1,082,027.53x = 2,851,196,986,660.86
  5. Step 5: Solve for x
    x = 2,851,196,986,660.86/1,082,027.53
  6. Step 6: Final answer
    x = 2,635,050.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.