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Finding the Third Proportional to 512,991 and 1,113,598.13

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Solution

The third proportional to 512,991 and 1,113,598.13 is: 2,417,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,991 : 1,113,598.13 = 1,113,598.13 : x
  2. Step 2: Convert to fraction form
    512,991/1,113,598.13 = 1,113,598.13/x
  3. Step 3: Cross multiply
    512,991x = 1,113,598.13 × 1,113,598.13
  4. Step 4: Simplify right side
    512,991x = 1,240,100,784,003.52
  5. Step 5: Solve for x
    x = 1,240,100,784,003.52/512,991
  6. Step 6: Final answer
    x = 2,417,392.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.