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Finding the Third Proportional to 583,580 and 1,269,409

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Solution

The third proportional to 583,580 and 1,269,409 is: 2,761,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,580 : 1,269,409 = 1,269,409 : x
  2. Step 2: Convert to fraction form
    583,580/1,269,409 = 1,269,409/x
  3. Step 3: Cross multiply
    583,580x = 1,269,409 × 1,269,409
  4. Step 4: Simplify right side
    583,580x = 1,611,399,209,281
  5. Step 5: Solve for x
    x = 1,611,399,209,281/583,580
  6. Step 6: Final answer
    x = 2,761,231.04

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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.