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Finding the Third Proportional to 2,142,476 and 2,937,806

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Solution

The third proportional to 2,142,476 and 2,937,806 is: 4,028,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,476 : 2,937,806 = 2,937,806 : x
  2. Step 2: Convert to fraction form
    2,142,476/2,937,806 = 2,937,806/x
  3. Step 3: Cross multiply
    2,142,476x = 2,937,806 × 2,937,806
  4. Step 4: Simplify right side
    2,142,476x = 8,630,704,093,636
  5. Step 5: Solve for x
    x = 8,630,704,093,636/2,142,476
  6. Step 6: Final answer
    x = 4,028,378.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.