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Finding the Third Proportional to 5,792,097 and 7,857,498

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Solution

The third proportional to 5,792,097 and 7,857,498 is: 10,659,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792,097 : 7,857,498 = 7,857,498 : x
  2. Step 2: Convert to fraction form
    5,792,097/7,857,498 = 7,857,498/x
  3. Step 3: Cross multiply
    5,792,097x = 7,857,498 × 7,857,498
  4. Step 4: Simplify right side
    5,792,097x = 61,740,274,820,004
  5. Step 5: Solve for x
    x = 61,740,274,820,004/5,792,097
  6. Step 6: Final answer
    x = 10,659,399.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.