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Finding the Third Proportional to 1,077,862.50 and 1,690,845.75

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Solution

The third proportional to 1,077,862.50 and 1,690,845.75 is: 2,652,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,862.50 : 1,690,845.75 = 1,690,845.75 : x
  2. Step 2: Convert to fraction form
    1,077,862.50/1,690,845.75 = 1,690,845.75/x
  3. Step 3: Cross multiply
    1,077,862.50x = 1,690,845.75 × 1,690,845.75
  4. Step 4: Simplify right side
    1,077,862.50x = 2,858,959,350,293.06
  5. Step 5: Solve for x
    x = 2,858,959,350,293.06/1,077,862.50
  6. Step 6: Final answer
    x = 2,652,434.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.