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Finding the Third Proportional to 959,056 and 1,946,464

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Solution

The third proportional to 959,056 and 1,946,464 is: 3,950,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,056 : 1,946,464 = 1,946,464 : x
  2. Step 2: Convert to fraction form
    959,056/1,946,464 = 1,946,464/x
  3. Step 3: Cross multiply
    959,056x = 1,946,464 × 1,946,464
  4. Step 4: Simplify right side
    959,056x = 3,788,722,103,296
  5. Step 5: Solve for x
    x = 3,788,722,103,296/959,056
  6. Step 6: Final answer
    x = 3,950,470.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.