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Finding the Third Proportional to 869,760 and 1,224,814

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Solution

The third proportional to 869,760 and 1,224,814 is: 1,724,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,760 : 1,224,814 = 1,224,814 : x
  2. Step 2: Convert to fraction form
    869,760/1,224,814 = 1,224,814/x
  3. Step 3: Cross multiply
    869,760x = 1,224,814 × 1,224,814
  4. Step 4: Simplify right side
    869,760x = 1,500,169,334,596
  5. Step 5: Solve for x
    x = 1,500,169,334,596/869,760
  6. Step 6: Final answer
    x = 1,724,808.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.