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Finding the Third Proportional to 713,162 and 1,486,084

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Solution

The third proportional to 713,162 and 1,486,084 is: 3,096,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,162 : 1,486,084 = 1,486,084 : x
  2. Step 2: Convert to fraction form
    713,162/1,486,084 = 1,486,084/x
  3. Step 3: Cross multiply
    713,162x = 1,486,084 × 1,486,084
  4. Step 4: Simplify right side
    713,162x = 2,208,445,655,056
  5. Step 5: Solve for x
    x = 2,208,445,655,056/713,162
  6. Step 6: Final answer
    x = 3,096,695.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.