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Finding the Third Proportional to 613,083 and 1,336,507

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Solution

The third proportional to 613,083 and 1,336,507 is: 2,913,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,083 : 1,336,507 = 1,336,507 : x
  2. Step 2: Convert to fraction form
    613,083/1,336,507 = 1,336,507/x
  3. Step 3: Cross multiply
    613,083x = 1,336,507 × 1,336,507
  4. Step 4: Simplify right side
    613,083x = 1,786,250,961,049
  5. Step 5: Solve for x
    x = 1,786,250,961,049/613,083
  6. Step 6: Final answer
    x = 2,913,554.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.