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Finding the Third Proportional to 2,020,138 and 4,420,324

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Solution

The third proportional to 2,020,138 and 4,420,324 is: 9,672,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,138 : 4,420,324 = 4,420,324 : x
  2. Step 2: Convert to fraction form
    2,020,138/4,420,324 = 4,420,324/x
  3. Step 3: Cross multiply
    2,020,138x = 4,420,324 × 4,420,324
  4. Step 4: Simplify right side
    2,020,138x = 19,539,264,264,976
  5. Step 5: Solve for x
    x = 19,539,264,264,976/2,020,138
  6. Step 6: Final answer
    x = 9,672,242.32

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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.