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Finding the Third Proportional to 2,654,952 and 5,826,000

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Solution

The third proportional to 2,654,952 and 5,826,000 is: 12,784,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,952 : 5,826,000 = 5,826,000 : x
  2. Step 2: Convert to fraction form
    2,654,952/5,826,000 = 5,826,000/x
  3. Step 3: Cross multiply
    2,654,952x = 5,826,000 × 5,826,000
  4. Step 4: Simplify right side
    2,654,952x = 33,942,276,000,000
  5. Step 5: Solve for x
    x = 33,942,276,000,000/2,654,952
  6. Step 6: Final answer
    x = 12,784,515.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.