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Finding the Third Proportional to 1,348,857 and 2,822,427

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Solution

The third proportional to 1,348,857 and 2,822,427 is: 5,905,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,857 : 2,822,427 = 2,822,427 : x
  2. Step 2: Convert to fraction form
    1,348,857/2,822,427 = 2,822,427/x
  3. Step 3: Cross multiply
    1,348,857x = 2,822,427 × 2,822,427
  4. Step 4: Simplify right side
    1,348,857x = 7,966,094,170,329
  5. Step 5: Solve for x
    x = 7,966,094,170,329/1,348,857
  6. Step 6: Final answer
    x = 5,905,810.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.