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Finding the Third Proportional to 911,776 and 1,984,097

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Solution

The third proportional to 911,776 and 1,984,097 is: 4,317,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,776 : 1,984,097 = 1,984,097 : x
  2. Step 2: Convert to fraction form
    911,776/1,984,097 = 1,984,097/x
  3. Step 3: Cross multiply
    911,776x = 1,984,097 × 1,984,097
  4. Step 4: Simplify right side
    911,776x = 3,936,640,905,409
  5. Step 5: Solve for x
    x = 3,936,640,905,409/911,776
  6. Step 6: Final answer
    x = 4,317,552.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.