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Finding the Third Proportional to 464,797 and 985,403

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Solution

The third proportional to 464,797 and 985,403 is: 2,089,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,797 : 985,403 = 985,403 : x
  2. Step 2: Convert to fraction form
    464,797/985,403 = 985,403/x
  3. Step 3: Cross multiply
    464,797x = 985,403 × 985,403
  4. Step 4: Simplify right side
    464,797x = 971,019,072,409
  5. Step 5: Solve for x
    x = 971,019,072,409/464,797
  6. Step 6: Final answer
    x = 2,089,125.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.