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Finding the Third Proportional to 1,637,846 and 3,543,968

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Solution

The third proportional to 1,637,846 and 3,543,968 is: 7,668,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,846 : 3,543,968 = 3,543,968 : x
  2. Step 2: Convert to fraction form
    1,637,846/3,543,968 = 3,543,968/x
  3. Step 3: Cross multiply
    1,637,846x = 3,543,968 × 3,543,968
  4. Step 4: Simplify right side
    1,637,846x = 12,559,709,185,024
  5. Step 5: Solve for x
    x = 12,559,709,185,024/1,637,846
  6. Step 6: Final answer
    x = 7,668,431.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.