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Finding the Third Proportional to 1,306,462 and 2,813,138

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Solution

The third proportional to 1,306,462 and 2,813,138 is: 6,057,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,462 : 2,813,138 = 2,813,138 : x
  2. Step 2: Convert to fraction form
    1,306,462/2,813,138 = 2,813,138/x
  3. Step 3: Cross multiply
    1,306,462x = 2,813,138 × 2,813,138
  4. Step 4: Simplify right side
    1,306,462x = 7,913,745,407,044
  5. Step 5: Solve for x
    x = 7,913,745,407,044/1,306,462
  6. Step 6: Final answer
    x = 6,057,386.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.