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Finding the Third Proportional to 643,052 and 1,374,676

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Solution

The third proportional to 643,052 and 1,374,676 is: 2,938,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,052 : 1,374,676 = 1,374,676 : x
  2. Step 2: Convert to fraction form
    643,052/1,374,676 = 1,374,676/x
  3. Step 3: Cross multiply
    643,052x = 1,374,676 × 1,374,676
  4. Step 4: Simplify right side
    643,052x = 1,889,734,104,976
  5. Step 5: Solve for x
    x = 1,889,734,104,976/643,052
  6. Step 6: Final answer
    x = 2,938,695.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.