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Finding the Third Proportional to 1,464,612 and 3,086,688

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Solution

The third proportional to 1,464,612 and 3,086,688 is: 6,505,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,612 : 3,086,688 = 3,086,688 : x
  2. Step 2: Convert to fraction form
    1,464,612/3,086,688 = 3,086,688/x
  3. Step 3: Cross multiply
    1,464,612x = 3,086,688 × 3,086,688
  4. Step 4: Simplify right side
    1,464,612x = 9,527,642,809,344
  5. Step 5: Solve for x
    x = 9,527,642,809,344/1,464,612
  6. Step 6: Final answer
    x = 6,505,233.34

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.