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Finding the Third Proportional to 512,497.13 and 1,121,518.13

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Solution

The third proportional to 512,497.13 and 1,121,518.13 is: 2,454,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,497.13 : 1,121,518.13 = 1,121,518.13 : x
  2. Step 2: Convert to fraction form
    512,497.13/1,121,518.13 = 1,121,518.13/x
  3. Step 3: Cross multiply
    512,497.13x = 1,121,518.13 × 1,121,518.13
  4. Step 4: Simplify right side
    512,497.13x = 1,257,802,904,703.52
  5. Step 5: Solve for x
    x = 1,257,802,904,703.52/512,497.13
  6. Step 6: Final answer
    x = 2,454,263.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.