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Finding the Third Proportional to 1,605,825 and 2,348,424

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Solution

The third proportional to 1,605,825 and 2,348,424 is: 3,434,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,825 : 2,348,424 = 2,348,424 : x
  2. Step 2: Convert to fraction form
    1,605,825/2,348,424 = 2,348,424/x
  3. Step 3: Cross multiply
    1,605,825x = 2,348,424 × 2,348,424
  4. Step 4: Simplify right side
    1,605,825x = 5,515,095,283,776
  5. Step 5: Solve for x
    x = 5,515,095,283,776/1,605,825
  6. Step 6: Final answer
    x = 3,434,431.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.