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Finding the Third Proportional to 473,971 and 987,322

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Solution

The third proportional to 473,971 and 987,322 is: 2,056,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,971 : 987,322 = 987,322 : x
  2. Step 2: Convert to fraction form
    473,971/987,322 = 987,322/x
  3. Step 3: Cross multiply
    473,971x = 987,322 × 987,322
  4. Step 4: Simplify right side
    473,971x = 974,804,731,684
  5. Step 5: Solve for x
    x = 974,804,731,684/473,971
  6. Step 6: Final answer
    x = 2,056,675.90

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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.