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Finding the Third Proportional to 1,497,774 and 3,231,720

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Solution

The third proportional to 1,497,774 and 3,231,720 is: 6,973,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,774 : 3,231,720 = 3,231,720 : x
  2. Step 2: Convert to fraction form
    1,497,774/3,231,720 = 3,231,720/x
  3. Step 3: Cross multiply
    1,497,774x = 3,231,720 × 3,231,720
  4. Step 4: Simplify right side
    1,497,774x = 10,444,014,158,400
  5. Step 5: Solve for x
    x = 10,444,014,158,400/1,497,774
  6. Step 6: Final answer
    x = 6,973,024.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.