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Finding the Third Proportional to 714,764.25 and 1,569,496.50

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Solution

The third proportional to 714,764.25 and 1,569,496.50 is: 3,446,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,764.25 : 1,569,496.50 = 1,569,496.50 : x
  2. Step 2: Convert to fraction form
    714,764.25/1,569,496.50 = 1,569,496.50/x
  3. Step 3: Cross multiply
    714,764.25x = 1,569,496.50 × 1,569,496.50
  4. Step 4: Simplify right side
    714,764.25x = 2,463,319,263,512.25
  5. Step 5: Solve for x
    x = 2,463,319,263,512.25/714,764.25
  6. Step 6: Final answer
    x = 3,446,338.09

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Why These Related Problems?

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