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Finding the Third Proportional to 1,025,505 and 1,592,014

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Solution

The third proportional to 1,025,505 and 1,592,014 is: 2,471,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,505 : 1,592,014 = 1,592,014 : x
  2. Step 2: Convert to fraction form
    1,025,505/1,592,014 = 1,592,014/x
  3. Step 3: Cross multiply
    1,025,505x = 1,592,014 × 1,592,014
  4. Step 4: Simplify right side
    1,025,505x = 2,534,508,576,196
  5. Step 5: Solve for x
    x = 2,534,508,576,196/1,025,505
  6. Step 6: Final answer
    x = 2,471,473.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.