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Finding the Third Proportional to 2,649,719.25 and 4,202,533.13

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Solution

The third proportional to 2,649,719.25 and 4,202,533.13 is: 6,665,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,719.25 : 4,202,533.13 = 4,202,533.13 : x
  2. Step 2: Convert to fraction form
    2,649,719.25/4,202,533.13 = 4,202,533.13/x
  3. Step 3: Cross multiply
    2,649,719.25x = 4,202,533.13 × 4,202,533.13
  4. Step 4: Simplify right side
    2,649,719.25x = 17,661,284,666,722.27
  5. Step 5: Solve for x
    x = 17,661,284,666,722.27/2,649,719.25
  6. Step 6: Final answer
    x = 6,665,341.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.