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Finding the Third Proportional to 578,970.28 and 1,270,092.66

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Solution

The third proportional to 578,970.28 and 1,270,092.66 is: 2,786,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,970.28 : 1,270,092.66 = 1,270,092.66 : x
  2. Step 2: Convert to fraction form
    578,970.28/1,270,092.66 = 1,270,092.66/x
  3. Step 3: Cross multiply
    578,970.28x = 1,270,092.66 × 1,270,092.66
  4. Step 4: Simplify right side
    578,970.28x = 1,613,135,355,460.18
  5. Step 5: Solve for x
    x = 1,613,135,355,460.18/578,970.28
  6. Step 6: Final answer
    x = 2,786,214.44

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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.