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Finding the Third Proportional to 819,318 and 1,282,457

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Solution

The third proportional to 819,318 and 1,282,457 is: 2,007,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,318 : 1,282,457 = 1,282,457 : x
  2. Step 2: Convert to fraction form
    819,318/1,282,457 = 1,282,457/x
  3. Step 3: Cross multiply
    819,318x = 1,282,457 × 1,282,457
  4. Step 4: Simplify right side
    819,318x = 1,644,695,956,849
  5. Step 5: Solve for x
    x = 1,644,695,956,849/819,318
  6. Step 6: Final answer
    x = 2,007,396.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.