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Finding the Third Proportional to 1,657,584.75 and 2,559,601.13

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Solution

The third proportional to 1,657,584.75 and 2,559,601.13 is: 3,952,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,584.75 : 2,559,601.13 = 2,559,601.13 : x
  2. Step 2: Convert to fraction form
    1,657,584.75/2,559,601.13 = 2,559,601.13/x
  3. Step 3: Cross multiply
    1,657,584.75x = 2,559,601.13 × 2,559,601.13
  4. Step 4: Simplify right side
    1,657,584.75x = 6,551,557,919,101.27
  5. Step 5: Solve for x
    x = 6,551,557,919,101.27/1,657,584.75
  6. Step 6: Final answer
    x = 3,952,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.