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Finding the Third Proportional to 1,678,212 and 3,683,049.75

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Solution

The third proportional to 1,678,212 and 3,683,049.75 is: 8,082,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,212 : 3,683,049.75 = 3,683,049.75 : x
  2. Step 2: Convert to fraction form
    1,678,212/3,683,049.75 = 3,683,049.75/x
  3. Step 3: Cross multiply
    1,678,212x = 3,683,049.75 × 3,683,049.75
  4. Step 4: Simplify right side
    1,678,212x = 13,564,855,460,975.06
  5. Step 5: Solve for x
    x = 13,564,855,460,975.06/1,678,212
  6. Step 6: Final answer
    x = 8,082,921.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.