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Finding the Third Proportional to 1,230,740 and 1,869,214

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Solution

The third proportional to 1,230,740 and 1,869,214 is: 2,838,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,740 : 1,869,214 = 1,869,214 : x
  2. Step 2: Convert to fraction form
    1,230,740/1,869,214 = 1,869,214/x
  3. Step 3: Cross multiply
    1,230,740x = 1,869,214 × 1,869,214
  4. Step 4: Simplify right side
    1,230,740x = 3,493,960,977,796
  5. Step 5: Solve for x
    x = 3,493,960,977,796/1,230,740
  6. Step 6: Final answer
    x = 2,838,910.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.