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Finding the Third Proportional to 639,968 and 1,371,016

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Solution

The third proportional to 639,968 and 1,371,016 is: 2,937,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,968 : 1,371,016 = 1,371,016 : x
  2. Step 2: Convert to fraction form
    639,968/1,371,016 = 1,371,016/x
  3. Step 3: Cross multiply
    639,968x = 1,371,016 × 1,371,016
  4. Step 4: Simplify right side
    639,968x = 1,879,684,872,256
  5. Step 5: Solve for x
    x = 1,879,684,872,256/639,968
  6. Step 6: Final answer
    x = 2,937,154.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.