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Finding the Third Proportional to 1,561,653 and 2,362,176

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Solution

The third proportional to 1,561,653 and 2,362,176 is: 3,573,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,653 : 2,362,176 = 2,362,176 : x
  2. Step 2: Convert to fraction form
    1,561,653/2,362,176 = 2,362,176/x
  3. Step 3: Cross multiply
    1,561,653x = 2,362,176 × 2,362,176
  4. Step 4: Simplify right side
    1,561,653x = 5,579,875,454,976
  5. Step 5: Solve for x
    x = 5,579,875,454,976/1,561,653
  6. Step 6: Final answer
    x = 3,573,057.17

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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.