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Finding the Third Proportional to 464,972 and 985,750

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Solution

The third proportional to 464,972 and 985,750 is: 2,089,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,972 : 985,750 = 985,750 : x
  2. Step 2: Convert to fraction form
    464,972/985,750 = 985,750/x
  3. Step 3: Cross multiply
    464,972x = 985,750 × 985,750
  4. Step 4: Simplify right side
    464,972x = 971,703,062,500
  5. Step 5: Solve for x
    x = 971,703,062,500/464,972
  6. Step 6: Final answer
    x = 2,089,809.84

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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.