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Finding the Third Proportional to 2,430,396 and 5,318,280

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Solution

The third proportional to 2,430,396 and 5,318,280 is: 11,637,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,396 : 5,318,280 = 5,318,280 : x
  2. Step 2: Convert to fraction form
    2,430,396/5,318,280 = 5,318,280/x
  3. Step 3: Cross multiply
    2,430,396x = 5,318,280 × 5,318,280
  4. Step 4: Simplify right side
    2,430,396x = 28,284,102,158,400
  5. Step 5: Solve for x
    x = 28,284,102,158,400/2,430,396
  6. Step 6: Final answer
    x = 11,637,651.71

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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.