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Finding the Third Proportional to 646,388 and 1,396,024

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Solution

The third proportional to 646,388 and 1,396,024 is: 3,015,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,388 : 1,396,024 = 1,396,024 : x
  2. Step 2: Convert to fraction form
    646,388/1,396,024 = 1,396,024/x
  3. Step 3: Cross multiply
    646,388x = 1,396,024 × 1,396,024
  4. Step 4: Simplify right side
    646,388x = 1,948,883,008,576
  5. Step 5: Solve for x
    x = 1,948,883,008,576/646,388
  6. Step 6: Final answer
    x = 3,015,035.87

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Why These Related Problems?

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