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Finding the Third Proportional to 1,601,776 and 3,407,024

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Solution

The third proportional to 1,601,776 and 3,407,024 is: 7,246,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,776 : 3,407,024 = 3,407,024 : x
  2. Step 2: Convert to fraction form
    1,601,776/3,407,024 = 3,407,024/x
  3. Step 3: Cross multiply
    1,601,776x = 3,407,024 × 3,407,024
  4. Step 4: Simplify right side
    1,601,776x = 11,607,812,536,576
  5. Step 5: Solve for x
    x = 11,607,812,536,576/1,601,776
  6. Step 6: Final answer
    x = 7,246,838.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.