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Finding the Third Proportional to 1,235,509 and 2,707,214

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Solution

The third proportional to 1,235,509 and 2,707,214 is: 5,931,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,509 : 2,707,214 = 2,707,214 : x
  2. Step 2: Convert to fraction form
    1,235,509/2,707,214 = 2,707,214/x
  3. Step 3: Cross multiply
    1,235,509x = 2,707,214 × 2,707,214
  4. Step 4: Simplify right side
    1,235,509x = 7,329,007,641,796
  5. Step 5: Solve for x
    x = 7,329,007,641,796/1,235,509
  6. Step 6: Final answer
    x = 5,931,974.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.