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Finding the Third Proportional to 1,403,719.88 and 2,096,224.31

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Solution

The third proportional to 1,403,719.88 and 2,096,224.31 is: 3,130,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,719.88 : 2,096,224.31 = 2,096,224.31 : x
  2. Step 2: Convert to fraction form
    1,403,719.88/2,096,224.31 = 2,096,224.31/x
  3. Step 3: Cross multiply
    1,403,719.88x = 2,096,224.31 × 2,096,224.31
  4. Step 4: Simplify right side
    1,403,719.88x = 4,394,156,368,316.10
  5. Step 5: Solve for x
    x = 4,394,156,368,316.10/1,403,719.88
  6. Step 6: Final answer
    x = 3,130,365.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.