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Finding the Third Proportional to 607,839 and 1,309,946.50

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Solution

The third proportional to 607,839 and 1,309,946.50 is: 2,823,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,839 : 1,309,946.50 = 1,309,946.50 : x
  2. Step 2: Convert to fraction form
    607,839/1,309,946.50 = 1,309,946.50/x
  3. Step 3: Cross multiply
    607,839x = 1,309,946.50 × 1,309,946.50
  4. Step 4: Simplify right side
    607,839x = 1,715,959,832,862.25
  5. Step 5: Solve for x
    x = 1,715,959,832,862.25/607,839
  6. Step 6: Final answer
    x = 2,823,049.91

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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.