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Finding the Third Proportional to 869,778 and 1,224,840

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Solution

The third proportional to 869,778 and 1,224,840 is: 1,724,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,778 : 1,224,840 = 1,224,840 : x
  2. Step 2: Convert to fraction form
    869,778/1,224,840 = 1,224,840/x
  3. Step 3: Cross multiply
    869,778x = 1,224,840 × 1,224,840
  4. Step 4: Simplify right side
    869,778x = 1,500,233,025,600
  5. Step 5: Solve for x
    x = 1,500,233,025,600/869,778
  6. Step 6: Final answer
    x = 1,724,845.91

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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.