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Finding the Third Proportional to 2,430,486 and 5,318,406

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Solution

The third proportional to 2,430,486 and 5,318,406 is: 11,637,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,486 : 5,318,406 = 5,318,406 : x
  2. Step 2: Convert to fraction form
    2,430,486/5,318,406 = 5,318,406/x
  3. Step 3: Cross multiply
    2,430,486x = 5,318,406 × 5,318,406
  4. Step 4: Simplify right side
    2,430,486x = 28,285,442,380,836
  5. Step 5: Solve for x
    x = 28,285,442,380,836/2,430,486
  6. Step 6: Final answer
    x = 11,637,772.19

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Why These Related Problems?

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