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Finding the Third Proportional to 583,586 and 1,269,421

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Solution

The third proportional to 583,586 and 1,269,421 is: 2,761,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,586 : 1,269,421 = 1,269,421 : x
  2. Step 2: Convert to fraction form
    583,586/1,269,421 = 1,269,421/x
  3. Step 3: Cross multiply
    583,586x = 1,269,421 × 1,269,421
  4. Step 4: Simplify right side
    583,586x = 1,611,429,675,241
  5. Step 5: Solve for x
    x = 1,611,429,675,241/583,586
  6. Step 6: Final answer
    x = 2,761,254.85

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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.