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Finding the Third Proportional to 744,693.75 and 1,607,455.13

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Solution

The third proportional to 744,693.75 and 1,607,455.13 is: 3,469,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,693.75 : 1,607,455.13 = 1,607,455.13 : x
  2. Step 2: Convert to fraction form
    744,693.75/1,607,455.13 = 1,607,455.13/x
  3. Step 3: Cross multiply
    744,693.75x = 1,607,455.13 × 1,607,455.13
  4. Step 4: Simplify right side
    744,693.75x = 2,583,911,978,888.77
  5. Step 5: Solve for x
    x = 2,583,911,978,888.77/744,693.75
  6. Step 6: Final answer
    x = 3,469,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.