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Finding the Third Proportional to 959,823 and 2,100,438

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Solution

The third proportional to 959,823 and 2,100,438 is: 4,596,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,823 : 2,100,438 = 2,100,438 : x
  2. Step 2: Convert to fraction form
    959,823/2,100,438 = 2,100,438/x
  3. Step 3: Cross multiply
    959,823x = 2,100,438 × 2,100,438
  4. Step 4: Simplify right side
    959,823x = 4,411,839,791,844
  5. Step 5: Solve for x
    x = 4,411,839,791,844/959,823
  6. Step 6: Final answer
    x = 4,596,513.93

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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.