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Finding the Third Proportional to 464,971 and 985,748

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Solution

The third proportional to 464,971 and 985,748 is: 2,089,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,971 : 985,748 = 985,748 : x
  2. Step 2: Convert to fraction form
    464,971/985,748 = 985,748/x
  3. Step 3: Cross multiply
    464,971x = 985,748 × 985,748
  4. Step 4: Simplify right side
    464,971x = 971,699,119,504
  5. Step 5: Solve for x
    x = 971,699,119,504/464,971
  6. Step 6: Final answer
    x = 2,089,805.86

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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.