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Finding the Third Proportional to 1,023,813 and 1,605,906

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Solution

The third proportional to 1,023,813 and 1,605,906 is: 2,518,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,813 : 1,605,906 = 1,605,906 : x
  2. Step 2: Convert to fraction form
    1,023,813/1,605,906 = 1,605,906/x
  3. Step 3: Cross multiply
    1,023,813x = 1,605,906 × 1,605,906
  4. Step 4: Simplify right side
    1,023,813x = 2,578,934,080,836
  5. Step 5: Solve for x
    x = 2,578,934,080,836/1,023,813
  6. Step 6: Final answer
    x = 2,518,950.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.