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Finding the Third Proportional to 639,968.63 and 1,371,020.63

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Solution

The third proportional to 639,968.63 and 1,371,020.63 is: 2,937,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,968.63 : 1,371,020.63 = 1,371,020.63 : x
  2. Step 2: Convert to fraction form
    639,968.63/1,371,020.63 = 1,371,020.63/x
  3. Step 3: Cross multiply
    639,968.63x = 1,371,020.63 × 1,371,020.63
  4. Step 4: Simplify right side
    639,968.63x = 1,879,697,554,175.39
  5. Step 5: Solve for x
    x = 1,879,697,554,175.39/639,968.63
  6. Step 6: Final answer
    x = 2,937,171.42

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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.