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Finding the Third Proportional to 782,569.50 and 1,244,859

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Solution

The third proportional to 782,569.50 and 1,244,859 is: 1,980,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,569.50 : 1,244,859 = 1,244,859 : x
  2. Step 2: Convert to fraction form
    782,569.50/1,244,859 = 1,244,859/x
  3. Step 3: Cross multiply
    782,569.50x = 1,244,859 × 1,244,859
  4. Step 4: Simplify right side
    782,569.50x = 1,549,673,929,881
  5. Step 5: Solve for x
    x = 1,549,673,929,881/782,569.50
  6. Step 6: Final answer
    x = 1,980,238.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.