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Finding the Third Proportional to 559,403 and 1,224,598

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Solution

The third proportional to 559,403 and 1,224,598 is: 2,680,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,403 : 1,224,598 = 1,224,598 : x
  2. Step 2: Convert to fraction form
    559,403/1,224,598 = 1,224,598/x
  3. Step 3: Cross multiply
    559,403x = 1,224,598 × 1,224,598
  4. Step 4: Simplify right side
    559,403x = 1,499,640,261,604
  5. Step 5: Solve for x
    x = 1,499,640,261,604/559,403
  6. Step 6: Final answer
    x = 2,680,786.95

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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.