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Finding the Third Proportional to 817,581 and 1,276,029

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Solution

The third proportional to 817,581 and 1,276,029 is: 1,991,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,581 : 1,276,029 = 1,276,029 : x
  2. Step 2: Convert to fraction form
    817,581/1,276,029 = 1,276,029/x
  3. Step 3: Cross multiply
    817,581x = 1,276,029 × 1,276,029
  4. Step 4: Simplify right side
    817,581x = 1,628,250,008,841
  5. Step 5: Solve for x
    x = 1,628,250,008,841/817,581
  6. Step 6: Final answer
    x = 1,991,545.80

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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.