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Finding the Third Proportional to 1,561,765 and 2,362,317

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Solution

The third proportional to 1,561,765 and 2,362,317 is: 3,573,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,765 : 2,362,317 = 2,362,317 : x
  2. Step 2: Convert to fraction form
    1,561,765/2,362,317 = 2,362,317/x
  3. Step 3: Cross multiply
    1,561,765x = 2,362,317 × 2,362,317
  4. Step 4: Simplify right side
    1,561,765x = 5,580,541,608,489
  5. Step 5: Solve for x
    x = 5,580,541,608,489/1,561,765
  6. Step 6: Final answer
    x = 3,573,227.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.