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Finding the Third Proportional to 648,010.13 and 1,413,936

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Solution

The third proportional to 648,010.13 and 1,413,936 is: 3,085,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,010.13 : 1,413,936 = 1,413,936 : x
  2. Step 2: Convert to fraction form
    648,010.13/1,413,936 = 1,413,936/x
  3. Step 3: Cross multiply
    648,010.13x = 1,413,936 × 1,413,936
  4. Step 4: Simplify right side
    648,010.13x = 1,999,215,012,096
  5. Step 5: Solve for x
    x = 1,999,215,012,096/648,010.13
  6. Step 6: Final answer
    x = 3,085,160.15

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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.