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Finding the Third Proportional to 753,637.50 and 1,638,171

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Solution

The third proportional to 753,637.50 and 1,638,171 is: 3,560,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,637.50 : 1,638,171 = 1,638,171 : x
  2. Step 2: Convert to fraction form
    753,637.50/1,638,171 = 1,638,171/x
  3. Step 3: Cross multiply
    753,637.50x = 1,638,171 × 1,638,171
  4. Step 4: Simplify right side
    753,637.50x = 2,683,604,225,241
  5. Step 5: Solve for x
    x = 2,683,604,225,241/753,637.50
  6. Step 6: Final answer
    x = 3,560,868.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.