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Finding the Third Proportional to 959,724 and 2,100,240

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Solution

The third proportional to 959,724 and 2,100,240 is: 4,596,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,724 : 2,100,240 = 2,100,240 : x
  2. Step 2: Convert to fraction form
    959,724/2,100,240 = 2,100,240/x
  3. Step 3: Cross multiply
    959,724x = 2,100,240 × 2,100,240
  4. Step 4: Simplify right side
    959,724x = 4,411,008,057,600
  5. Step 5: Solve for x
    x = 4,411,008,057,600/959,724
  6. Step 6: Final answer
    x = 4,596,121.44

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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.