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Finding the Third Proportional to 665,859 and 1,467,442.50

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Solution

The third proportional to 665,859 and 1,467,442.50 is: 3,233,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,859 : 1,467,442.50 = 1,467,442.50 : x
  2. Step 2: Convert to fraction form
    665,859/1,467,442.50 = 1,467,442.50/x
  3. Step 3: Cross multiply
    665,859x = 1,467,442.50 × 1,467,442.50
  4. Step 4: Simplify right side
    665,859x = 2,153,387,490,806.25
  5. Step 5: Solve for x
    x = 2,153,387,490,806.25/665,859
  6. Step 6: Final answer
    x = 3,233,999.23

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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.