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Finding the Third Proportional to 1,971,729 and 4,036,770

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Solution

The third proportional to 1,971,729 and 4,036,770 is: 8,264,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,729 : 4,036,770 = 4,036,770 : x
  2. Step 2: Convert to fraction form
    1,971,729/4,036,770 = 4,036,770/x
  3. Step 3: Cross multiply
    1,971,729x = 4,036,770 × 4,036,770
  4. Step 4: Simplify right side
    1,971,729x = 16,295,512,032,900
  5. Step 5: Solve for x
    x = 16,295,512,032,900/1,971,729
  6. Step 6: Final answer
    x = 8,264,579.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.