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Finding the Third Proportional to 1,260,909 and 2,698,965

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Solution

The third proportional to 1,260,909 and 2,698,965 is: 5,777,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,909 : 2,698,965 = 2,698,965 : x
  2. Step 2: Convert to fraction form
    1,260,909/2,698,965 = 2,698,965/x
  3. Step 3: Cross multiply
    1,260,909x = 2,698,965 × 2,698,965
  4. Step 4: Simplify right side
    1,260,909x = 7,284,412,071,225
  5. Step 5: Solve for x
    x = 7,284,412,071,225/1,260,909
  6. Step 6: Final answer
    x = 5,777,111.65

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