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Finding the Third Proportional to 583,106 and 1,280,356

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Solution

The third proportional to 583,106 and 1,280,356 is: 2,811,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,106 : 1,280,356 = 1,280,356 : x
  2. Step 2: Convert to fraction form
    583,106/1,280,356 = 1,280,356/x
  3. Step 3: Cross multiply
    583,106x = 1,280,356 × 1,280,356
  4. Step 4: Simplify right side
    583,106x = 1,639,311,486,736
  5. Step 5: Solve for x
    x = 1,639,311,486,736/583,106
  6. Step 6: Final answer
    x = 2,811,343.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.