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Finding the Third Proportional to 2,913,394 and 5,942,420

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Solution

The third proportional to 2,913,394 and 5,942,420 is: 12,120,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,394 : 5,942,420 = 5,942,420 : x
  2. Step 2: Convert to fraction form
    2,913,394/5,942,420 = 5,942,420/x
  3. Step 3: Cross multiply
    2,913,394x = 5,942,420 × 5,942,420
  4. Step 4: Simplify right side
    2,913,394x = 35,312,355,456,400
  5. Step 5: Solve for x
    x = 35,312,355,456,400/2,913,394
  6. Step 6: Final answer
    x = 12,120,693.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.