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Finding the Third Proportional to 911,776 and 1,978,100

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Solution

The third proportional to 911,776 and 1,978,100 is: 4,291,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,776 : 1,978,100 = 1,978,100 : x
  2. Step 2: Convert to fraction form
    911,776/1,978,100 = 1,978,100/x
  3. Step 3: Cross multiply
    911,776x = 1,978,100 × 1,978,100
  4. Step 4: Simplify right side
    911,776x = 3,912,879,610,000
  5. Step 5: Solve for x
    x = 3,912,879,610,000/911,776
  6. Step 6: Final answer
    x = 4,291,492.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.