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Finding the Third Proportional to 1,748,097 and 3,803,832

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Solution

The third proportional to 1,748,097 and 3,803,832 is: 8,277,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,097 : 3,803,832 = 3,803,832 : x
  2. Step 2: Convert to fraction form
    1,748,097/3,803,832 = 3,803,832/x
  3. Step 3: Cross multiply
    1,748,097x = 3,803,832 × 3,803,832
  4. Step 4: Simplify right side
    1,748,097x = 14,469,137,884,224
  5. Step 5: Solve for x
    x = 14,469,137,884,224/1,748,097
  6. Step 6: Final answer
    x = 8,277,079.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.