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Finding the Third Proportional to 959,727 and 2,100,243

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Solution

The third proportional to 959,727 and 2,100,243 is: 4,596,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,727 : 2,100,243 = 2,100,243 : x
  2. Step 2: Convert to fraction form
    959,727/2,100,243 = 2,100,243/x
  3. Step 3: Cross multiply
    959,727x = 2,100,243 × 2,100,243
  4. Step 4: Simplify right side
    959,727x = 4,411,020,659,049
  5. Step 5: Solve for x
    x = 4,411,020,659,049/959,727
  6. Step 6: Final answer
    x = 4,596,120.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.