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Finding the Third Proportional to 971,142.50 and 2,135,011

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Solution

The third proportional to 971,142.50 and 2,135,011 is: 4,693,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,142.50 : 2,135,011 = 2,135,011 : x
  2. Step 2: Convert to fraction form
    971,142.50/2,135,011 = 2,135,011/x
  3. Step 3: Cross multiply
    971,142.50x = 2,135,011 × 2,135,011
  4. Step 4: Simplify right side
    971,142.50x = 4,558,271,970,121
  5. Step 5: Solve for x
    x = 4,558,271,970,121/971,142.50
  6. Step 6: Final answer
    x = 4,693,721.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.