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Finding the Third Proportional to 2,318,632 and 4,945,416

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Solution

The third proportional to 2,318,632 and 4,945,416 is: 10,548,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318,632 : 4,945,416 = 4,945,416 : x
  2. Step 2: Convert to fraction form
    2,318,632/4,945,416 = 4,945,416/x
  3. Step 3: Cross multiply
    2,318,632x = 4,945,416 × 4,945,416
  4. Step 4: Simplify right side
    2,318,632x = 24,457,139,413,056
  5. Step 5: Solve for x
    x = 24,457,139,413,056/2,318,632
  6. Step 6: Final answer
    x = 10,548,090.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.