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Finding the Third Proportional to 3,643,038 and 5,434,998

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Solution

The third proportional to 3,643,038 and 5,434,998 is: 8,108,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,038 : 5,434,998 = 5,434,998 : x
  2. Step 2: Convert to fraction form
    3,643,038/5,434,998 = 5,434,998/x
  3. Step 3: Cross multiply
    3,643,038x = 5,434,998 × 5,434,998
  4. Step 4: Simplify right side
    3,643,038x = 29,539,203,260,004
  5. Step 5: Solve for x
    x = 29,539,203,260,004/3,643,038
  6. Step 6: Final answer
    x = 8,108,398.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.