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Finding the Third Proportional to 1,395,414 and 2,101,288

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Solution

The third proportional to 1,395,414 and 2,101,288 is: 3,164,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395,414 : 2,101,288 = 2,101,288 : x
  2. Step 2: Convert to fraction form
    1,395,414/2,101,288 = 2,101,288/x
  3. Step 3: Cross multiply
    1,395,414x = 2,101,288 × 2,101,288
  4. Step 4: Simplify right side
    1,395,414x = 4,415,411,258,944
  5. Step 5: Solve for x
    x = 4,415,411,258,944/1,395,414
  6. Step 6: Final answer
    x = 3,164,230.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.