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Finding the Third Proportional to 732,578 and 1,570,285

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Solution

The third proportional to 732,578 and 1,570,285 is: 3,365,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,578 : 1,570,285 = 1,570,285 : x
  2. Step 2: Convert to fraction form
    732,578/1,570,285 = 1,570,285/x
  3. Step 3: Cross multiply
    732,578x = 1,570,285 × 1,570,285
  4. Step 4: Simplify right side
    732,578x = 2,465,794,981,225
  5. Step 5: Solve for x
    x = 2,465,794,981,225/732,578
  6. Step 6: Final answer
    x = 3,365,914.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.