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Finding the Third Proportional to 1,293,097 and 2,810,024

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Solution

The third proportional to 1,293,097 and 2,810,024 is: 6,106,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,097 : 2,810,024 = 2,810,024 : x
  2. Step 2: Convert to fraction form
    1,293,097/2,810,024 = 2,810,024/x
  3. Step 3: Cross multiply
    1,293,097x = 2,810,024 × 2,810,024
  4. Step 4: Simplify right side
    1,293,097x = 7,896,234,880,576
  5. Step 5: Solve for x
    x = 7,896,234,880,576/1,293,097
  6. Step 6: Final answer
    x = 6,106,452.09

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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.