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Finding the Third Proportional to 1,648,584 and 3,474,288

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Solution

The third proportional to 1,648,584 and 3,474,288 is: 7,321,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,584 : 3,474,288 = 3,474,288 : x
  2. Step 2: Convert to fraction form
    1,648,584/3,474,288 = 3,474,288/x
  3. Step 3: Cross multiply
    1,648,584x = 3,474,288 × 3,474,288
  4. Step 4: Simplify right side
    1,648,584x = 12,070,677,106,944
  5. Step 5: Solve for x
    x = 12,070,677,106,944/1,648,584
  6. Step 6: Final answer
    x = 7,321,845.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.