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Finding the Third Proportional to 823,087 and 1,174,756.50

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Solution

The third proportional to 823,087 and 1,174,756.50 is: 1,676,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,087 : 1,174,756.50 = 1,174,756.50 : x
  2. Step 2: Convert to fraction form
    823,087/1,174,756.50 = 1,174,756.50/x
  3. Step 3: Cross multiply
    823,087x = 1,174,756.50 × 1,174,756.50
  4. Step 4: Simplify right side
    823,087x = 1,380,052,834,292.25
  5. Step 5: Solve for x
    x = 1,380,052,834,292.25/823,087
  6. Step 6: Final answer
    x = 1,676,679.18

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.