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Finding the Third Proportional to 1,664,712 and 3,591,648

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Solution

The third proportional to 1,664,712 and 3,591,648 is: 7,749,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,712 : 3,591,648 = 3,591,648 : x
  2. Step 2: Convert to fraction form
    1,664,712/3,591,648 = 3,591,648/x
  3. Step 3: Cross multiply
    1,664,712x = 3,591,648 × 3,591,648
  4. Step 4: Simplify right side
    1,664,712x = 12,899,935,355,904
  5. Step 5: Solve for x
    x = 12,899,935,355,904/1,664,712
  6. Step 6: Final answer
    x = 7,749,049.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.