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Finding the Third Proportional to 517,176 and 1,113,084

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Solution

The third proportional to 517,176 and 1,113,084 is: 2,395,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,176 : 1,113,084 = 1,113,084 : x
  2. Step 2: Convert to fraction form
    517,176/1,113,084 = 1,113,084/x
  3. Step 3: Cross multiply
    517,176x = 1,113,084 × 1,113,084
  4. Step 4: Simplify right side
    517,176x = 1,238,955,991,056
  5. Step 5: Solve for x
    x = 1,238,955,991,056/517,176
  6. Step 6: Final answer
    x = 2,395,617.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.