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Finding the Third Proportional to 2,217,582 and 4,766,442

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Solution

The third proportional to 2,217,582 and 4,766,442 is: 10,244,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,582 : 4,766,442 = 4,766,442 : x
  2. Step 2: Convert to fraction form
    2,217,582/4,766,442 = 4,766,442/x
  3. Step 3: Cross multiply
    2,217,582x = 4,766,442 × 4,766,442
  4. Step 4: Simplify right side
    2,217,582x = 22,718,969,339,364
  5. Step 5: Solve for x
    x = 22,718,969,339,364/2,217,582
  6. Step 6: Final answer
    x = 10,244,928.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.