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Finding the Third Proportional to 560,928 and 1,224,636

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Solution

The third proportional to 560,928 and 1,224,636 is: 2,673,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,928 : 1,224,636 = 1,224,636 : x
  2. Step 2: Convert to fraction form
    560,928/1,224,636 = 1,224,636/x
  3. Step 3: Cross multiply
    560,928x = 1,224,636 × 1,224,636
  4. Step 4: Simplify right side
    560,928x = 1,499,733,332,496
  5. Step 5: Solve for x
    x = 1,499,733,332,496/560,928
  6. Step 6: Final answer
    x = 2,673,664.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.