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Finding the Third Proportional to 934,480.13 and 1,463,968.69

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Solution

The third proportional to 934,480.13 and 1,463,968.69 is: 2,293,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,480.13 : 1,463,968.69 = 1,463,968.69 : x
  2. Step 2: Convert to fraction form
    934,480.13/1,463,968.69 = 1,463,968.69/x
  3. Step 3: Cross multiply
    934,480.13x = 1,463,968.69 × 1,463,968.69
  4. Step 4: Simplify right side
    934,480.13x = 2,143,204,317,980.47
  5. Step 5: Solve for x
    x = 2,143,204,317,980.47/934,480.13
  6. Step 6: Final answer
    x = 2,293,472.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.