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Finding the Third Proportional to 464,984 and 985,772

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Solution

The third proportional to 464,984 and 985,772 is: 2,089,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,984 : 985,772 = 985,772 : x
  2. Step 2: Convert to fraction form
    464,984/985,772 = 985,772/x
  3. Step 3: Cross multiply
    464,984x = 985,772 × 985,772
  4. Step 4: Simplify right side
    464,984x = 971,746,435,984
  5. Step 5: Solve for x
    x = 971,746,435,984/464,984
  6. Step 6: Final answer
    x = 2,089,849.19

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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.