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Finding the Third Proportional to 1,036,816 and 1,601,160

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Solution

The third proportional to 1,036,816 and 1,601,160 is: 2,472,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,816 : 1,601,160 = 1,601,160 : x
  2. Step 2: Convert to fraction form
    1,036,816/1,601,160 = 1,601,160/x
  3. Step 3: Cross multiply
    1,036,816x = 1,601,160 × 1,601,160
  4. Step 4: Simplify right side
    1,036,816x = 2,563,713,345,600
  5. Step 5: Solve for x
    x = 2,563,713,345,600/1,036,816
  6. Step 6: Final answer
    x = 2,472,679.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.