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Finding the Third Proportional to 817,576 and 1,276,023

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Solution

The third proportional to 817,576 and 1,276,023 is: 1,991,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,576 : 1,276,023 = 1,276,023 : x
  2. Step 2: Convert to fraction form
    817,576/1,276,023 = 1,276,023/x
  3. Step 3: Cross multiply
    817,576x = 1,276,023 × 1,276,023
  4. Step 4: Simplify right side
    817,576x = 1,628,234,696,529
  5. Step 5: Solve for x
    x = 1,628,234,696,529/817,576
  6. Step 6: Final answer
    x = 1,991,539.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.