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Finding the Third Proportional to 583,224 and 1,271,856

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Solution

The third proportional to 583,224 and 1,271,856 is: 2,773,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,224 : 1,271,856 = 1,271,856 : x
  2. Step 2: Convert to fraction form
    583,224/1,271,856 = 1,271,856/x
  3. Step 3: Cross multiply
    583,224x = 1,271,856 × 1,271,856
  4. Step 4: Simplify right side
    583,224x = 1,617,617,684,736
  5. Step 5: Solve for x
    x = 1,617,617,684,736/583,224
  6. Step 6: Final answer
    x = 2,773,578.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.