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Finding the Third Proportional to 732,914.44 and 1,121,168.25

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Solution

The third proportional to 732,914.44 and 1,121,168.25 is: 1,715,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,914.44 : 1,121,168.25 = 1,121,168.25 : x
  2. Step 2: Convert to fraction form
    732,914.44/1,121,168.25 = 1,121,168.25/x
  3. Step 3: Cross multiply
    732,914.44x = 1,121,168.25 × 1,121,168.25
  4. Step 4: Simplify right side
    732,914.44x = 1,257,018,244,808.06
  5. Step 5: Solve for x
    x = 1,257,018,244,808.06/732,914.44
  6. Step 6: Final answer
    x = 1,715,095.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.