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Finding the Third Proportional to 1,101,978.25 and 1,702,836.75

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Solution

The third proportional to 1,101,978.25 and 1,702,836.75 is: 2,631,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,978.25 : 1,702,836.75 = 1,702,836.75 : x
  2. Step 2: Convert to fraction form
    1,101,978.25/1,702,836.75 = 1,702,836.75/x
  3. Step 3: Cross multiply
    1,101,978.25x = 1,702,836.75 × 1,702,836.75
  4. Step 4: Simplify right side
    1,101,978.25x = 2,899,652,997,150.56
  5. Step 5: Solve for x
    x = 2,899,652,997,150.56/1,101,978.25
  6. Step 6: Final answer
    x = 2,631,316.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.