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Finding the Third Proportional to 2,414,160 and 5,243,506

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Solution

The third proportional to 2,414,160 and 5,243,506 is: 11,388,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,160 : 5,243,506 = 5,243,506 : x
  2. Step 2: Convert to fraction form
    2,414,160/5,243,506 = 5,243,506/x
  3. Step 3: Cross multiply
    2,414,160x = 5,243,506 × 5,243,506
  4. Step 4: Simplify right side
    2,414,160x = 27,494,355,172,036
  5. Step 5: Solve for x
    x = 27,494,355,172,036/2,414,160
  6. Step 6: Final answer
    x = 11,388,787.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.