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Finding the Third Proportional to 2,197,567 and 4,563,560

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Solution

The third proportional to 2,197,567 and 4,563,560 is: 9,476,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,567 : 4,563,560 = 4,563,560 : x
  2. Step 2: Convert to fraction form
    2,197,567/4,563,560 = 4,563,560/x
  3. Step 3: Cross multiply
    2,197,567x = 4,563,560 × 4,563,560
  4. Step 4: Simplify right side
    2,197,567x = 20,826,079,873,600
  5. Step 5: Solve for x
    x = 20,826,079,873,600/2,197,567
  6. Step 6: Final answer
    x = 9,476,880.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.