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Finding the Third Proportional to 5,649,792 and 7,254,144

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Solution

The third proportional to 5,649,792 and 7,254,144 is: 9,314,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649,792 : 7,254,144 = 7,254,144 : x
  2. Step 2: Convert to fraction form
    5,649,792/7,254,144 = 7,254,144/x
  3. Step 3: Cross multiply
    5,649,792x = 7,254,144 × 7,254,144
  4. Step 4: Simplify right side
    5,649,792x = 52,622,605,172,736
  5. Step 5: Solve for x
    x = 52,622,605,172,736/5,649,792
  6. Step 6: Final answer
    x = 9,314,078.32

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.