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Finding the Third Proportional to 1,687,814 and 3,639,565

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Solution

The third proportional to 1,687,814 and 3,639,565 is: 7,848,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,814 : 3,639,565 = 3,639,565 : x
  2. Step 2: Convert to fraction form
    1,687,814/3,639,565 = 3,639,565/x
  3. Step 3: Cross multiply
    1,687,814x = 3,639,565 × 3,639,565
  4. Step 4: Simplify right side
    1,687,814x = 13,246,433,389,225
  5. Step 5: Solve for x
    x = 13,246,433,389,225/1,687,814
  6. Step 6: Final answer
    x = 7,848,277.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.