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Finding the Third Proportional to 1,353,175 and 2,910,469

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Solution

The third proportional to 1,353,175 and 2,910,469 is: 6,259,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,175 : 2,910,469 = 2,910,469 : x
  2. Step 2: Convert to fraction form
    1,353,175/2,910,469 = 2,910,469/x
  3. Step 3: Cross multiply
    1,353,175x = 2,910,469 × 2,910,469
  4. Step 4: Simplify right side
    1,353,175x = 8,470,829,799,961
  5. Step 5: Solve for x
    x = 8,470,829,799,961/1,353,175
  6. Step 6: Final answer
    x = 6,259,966.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.