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Finding the Third Proportional to 1,827,486 and 3,927,132

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Solution

The third proportional to 1,827,486 and 3,927,132 is: 8,439,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,486 : 3,927,132 = 3,927,132 : x
  2. Step 2: Convert to fraction form
    1,827,486/3,927,132 = 3,927,132/x
  3. Step 3: Cross multiply
    1,827,486x = 3,927,132 × 3,927,132
  4. Step 4: Simplify right side
    1,827,486x = 15,422,365,745,424
  5. Step 5: Solve for x
    x = 15,422,365,745,424/1,827,486
  6. Step 6: Final answer
    x = 8,439,115.67

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Why These Related Problems?

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