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Finding the Third Proportional to 1,025,121 and 1,562,967

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Solution

The third proportional to 1,025,121 and 1,562,967 is: 2,383,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,121 : 1,562,967 = 1,562,967 : x
  2. Step 2: Convert to fraction form
    1,025,121/1,562,967 = 1,562,967/x
  3. Step 3: Cross multiply
    1,025,121x = 1,562,967 × 1,562,967
  4. Step 4: Simplify right side
    1,025,121x = 2,442,865,843,089
  5. Step 5: Solve for x
    x = 2,442,865,843,089/1,025,121
  6. Step 6: Final answer
    x = 2,383,002.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.