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Finding the Third Proportional to 825,071 and 1,276,459

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Solution

The third proportional to 825,071 and 1,276,459 is: 1,974,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,071 : 1,276,459 = 1,276,459 : x
  2. Step 2: Convert to fraction form
    825,071/1,276,459 = 1,276,459/x
  3. Step 3: Cross multiply
    825,071x = 1,276,459 × 1,276,459
  4. Step 4: Simplify right side
    825,071x = 1,629,347,578,681
  5. Step 5: Solve for x
    x = 1,629,347,578,681/825,071
  6. Step 6: Final answer
    x = 1,974,796.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.