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Finding the Third Proportional to 1,235,510 and 2,707,216

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Solution

The third proportional to 1,235,510 and 2,707,216 is: 5,931,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,510 : 2,707,216 = 2,707,216 : x
  2. Step 2: Convert to fraction form
    1,235,510/2,707,216 = 2,707,216/x
  3. Step 3: Cross multiply
    1,235,510x = 2,707,216 × 2,707,216
  4. Step 4: Simplify right side
    1,235,510x = 7,329,018,470,656
  5. Step 5: Solve for x
    x = 7,329,018,470,656/1,235,510
  6. Step 6: Final answer
    x = 5,931,978.27

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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.