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Finding the Third Proportional to 971,692.50 and 2,005,623

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Solution

The third proportional to 971,692.50 and 2,005,623 is: 4,139,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,692.50 : 2,005,623 = 2,005,623 : x
  2. Step 2: Convert to fraction form
    971,692.50/2,005,623 = 2,005,623/x
  3. Step 3: Cross multiply
    971,692.50x = 2,005,623 × 2,005,623
  4. Step 4: Simplify right side
    971,692.50x = 4,022,523,618,129
  5. Step 5: Solve for x
    x = 4,022,523,618,129/971,692.50
  6. Step 6: Final answer
    x = 4,139,708.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.