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Finding the Third Proportional to 464,969 and 985,737

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Solution

The third proportional to 464,969 and 985,737 is: 2,089,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,969 : 985,737 = 985,737 : x
  2. Step 2: Convert to fraction form
    464,969/985,737 = 985,737/x
  3. Step 3: Cross multiply
    464,969x = 985,737 × 985,737
  4. Step 4: Simplify right side
    464,969x = 971,677,433,169
  5. Step 5: Solve for x
    x = 971,677,433,169/464,969
  6. Step 6: Final answer
    x = 2,089,768.21

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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.