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Finding the Third Proportional to 464,916 and 982,056

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Solution

The third proportional to 464,916 and 982,056 is: 2,074,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,916 : 982,056 = 982,056 : x
  2. Step 2: Convert to fraction form
    464,916/982,056 = 982,056/x
  3. Step 3: Cross multiply
    464,916x = 982,056 × 982,056
  4. Step 4: Simplify right side
    464,916x = 964,433,987,136
  5. Step 5: Solve for x
    x = 964,433,987,136/464,916
  6. Step 6: Final answer
    x = 2,074,426.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.