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Finding the Third Proportional to 643,524.50 and 1,410,683

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Solution

The third proportional to 643,524.50 and 1,410,683 is: 3,092,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,524.50 : 1,410,683 = 1,410,683 : x
  2. Step 2: Convert to fraction form
    643,524.50/1,410,683 = 1,410,683/x
  3. Step 3: Cross multiply
    643,524.50x = 1,410,683 × 1,410,683
  4. Step 4: Simplify right side
    643,524.50x = 1,990,026,526,489
  5. Step 5: Solve for x
    x = 1,990,026,526,489/643,524.50
  6. Step 6: Final answer
    x = 3,092,386.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.