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Finding the Third Proportional to 500,736 and 1,113,420

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Solution

The third proportional to 500,736 and 1,113,420 is: 2,475,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,736 : 1,113,420 = 1,113,420 : x
  2. Step 2: Convert to fraction form
    500,736/1,113,420 = 1,113,420/x
  3. Step 3: Cross multiply
    500,736x = 1,113,420 × 1,113,420
  4. Step 4: Simplify right side
    500,736x = 1,239,704,096,400
  5. Step 5: Solve for x
    x = 1,239,704,096,400/500,736
  6. Step 6: Final answer
    x = 2,475,763.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.