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Finding the Third Proportional to 959,836 and 2,100,464

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Solution

The third proportional to 959,836 and 2,100,464 is: 4,596,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,836 : 2,100,464 = 2,100,464 : x
  2. Step 2: Convert to fraction form
    959,836/2,100,464 = 2,100,464/x
  3. Step 3: Cross multiply
    959,836x = 2,100,464 × 2,100,464
  4. Step 4: Simplify right side
    959,836x = 4,411,949,015,296
  5. Step 5: Solve for x
    x = 4,411,949,015,296/959,836
  6. Step 6: Final answer
    x = 4,596,565.47

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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.