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Finding the Third Proportional to 1,656,153 and 3,548,394

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Solution

The third proportional to 1,656,153 and 3,548,394 is: 7,602,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,153 : 3,548,394 = 3,548,394 : x
  2. Step 2: Convert to fraction form
    1,656,153/3,548,394 = 3,548,394/x
  3. Step 3: Cross multiply
    1,656,153x = 3,548,394 × 3,548,394
  4. Step 4: Simplify right side
    1,656,153x = 12,591,099,979,236
  5. Step 5: Solve for x
    x = 12,591,099,979,236/1,656,153
  6. Step 6: Final answer
    x = 7,602,618.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.