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Finding the Third Proportional to 583,735 and 1,278,188

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Solution

The third proportional to 583,735 and 1,278,188 is: 2,798,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,735 : 1,278,188 = 1,278,188 : x
  2. Step 2: Convert to fraction form
    583,735/1,278,188 = 1,278,188/x
  3. Step 3: Cross multiply
    583,735x = 1,278,188 × 1,278,188
  4. Step 4: Simplify right side
    583,735x = 1,633,764,563,344
  5. Step 5: Solve for x
    x = 1,633,764,563,344/583,735
  6. Step 6: Final answer
    x = 2,798,812.07

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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.