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Finding the Third Proportional to 583,583 and 1,269,415

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Solution

The third proportional to 583,583 and 1,269,415 is: 2,761,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,583 : 1,269,415 = 1,269,415 : x
  2. Step 2: Convert to fraction form
    583,583/1,269,415 = 1,269,415/x
  3. Step 3: Cross multiply
    583,583x = 1,269,415 × 1,269,415
  4. Step 4: Simplify right side
    583,583x = 1,611,414,442,225
  5. Step 5: Solve for x
    x = 1,611,414,442,225/583,583
  6. Step 6: Final answer
    x = 2,761,242.95

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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.