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Finding the Third Proportional to 588,483 and 1,247,584

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Solution

The third proportional to 588,483 and 1,247,584 is: 2,644,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,483 : 1,247,584 = 1,247,584 : x
  2. Step 2: Convert to fraction form
    588,483/1,247,584 = 1,247,584/x
  3. Step 3: Cross multiply
    588,483x = 1,247,584 × 1,247,584
  4. Step 4: Simplify right side
    588,483x = 1,556,465,837,056
  5. Step 5: Solve for x
    x = 1,556,465,837,056/588,483
  6. Step 6: Final answer
    x = 2,644,878.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.