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Finding the Third Proportional to 653,896.50 and 1,385,580

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Solution

The third proportional to 653,896.50 and 1,385,580 is: 2,935,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,896.50 : 1,385,580 = 1,385,580 : x
  2. Step 2: Convert to fraction form
    653,896.50/1,385,580 = 1,385,580/x
  3. Step 3: Cross multiply
    653,896.50x = 1,385,580 × 1,385,580
  4. Step 4: Simplify right side
    653,896.50x = 1,919,831,936,400
  5. Step 5: Solve for x
    x = 1,919,831,936,400/653,896.50
  6. Step 6: Final answer
    x = 2,935,987.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.