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Finding the Third Proportional to 1,702,775 and 2,561,313

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Solution

The third proportional to 1,702,775 and 2,561,313 is: 3,852,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,775 : 2,561,313 = 2,561,313 : x
  2. Step 2: Convert to fraction form
    1,702,775/2,561,313 = 2,561,313/x
  3. Step 3: Cross multiply
    1,702,775x = 2,561,313 × 2,561,313
  4. Step 4: Simplify right side
    1,702,775x = 6,560,324,283,969
  5. Step 5: Solve for x
    x = 6,560,324,283,969/1,702,775
  6. Step 6: Final answer
    x = 3,852,725.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.