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Finding the Third Proportional to 473,969 and 987,318

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Solution

The third proportional to 473,969 and 987,318 is: 2,056,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,969 : 987,318 = 987,318 : x
  2. Step 2: Convert to fraction form
    473,969/987,318 = 987,318/x
  3. Step 3: Cross multiply
    473,969x = 987,318 × 987,318
  4. Step 4: Simplify right side
    473,969x = 974,796,833,124
  5. Step 5: Solve for x
    x = 974,796,833,124/473,969
  6. Step 6: Final answer
    x = 2,056,667.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.