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Finding the Third Proportional to 1,625,998.50 and 2,415,426.75

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Solution

The third proportional to 1,625,998.50 and 2,415,426.75 is: 3,588,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625,998.50 : 2,415,426.75 = 2,415,426.75 : x
  2. Step 2: Convert to fraction form
    1,625,998.50/2,415,426.75 = 2,415,426.75/x
  3. Step 3: Cross multiply
    1,625,998.50x = 2,415,426.75 × 2,415,426.75
  4. Step 4: Simplify right side
    1,625,998.50x = 5,834,286,384,615.56
  5. Step 5: Solve for x
    x = 5,834,286,384,615.56/1,625,998.50
  6. Step 6: Final answer
    x = 3,588,125.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.