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Finding the Third Proportional to 959,821 and 2,100,433

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Solution

The third proportional to 959,821 and 2,100,433 is: 4,596,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,821 : 2,100,433 = 2,100,433 : x
  2. Step 2: Convert to fraction form
    959,821/2,100,433 = 2,100,433/x
  3. Step 3: Cross multiply
    959,821x = 2,100,433 × 2,100,433
  4. Step 4: Simplify right side
    959,821x = 4,411,818,787,489
  5. Step 5: Solve for x
    x = 4,411,818,787,489/959,821
  6. Step 6: Final answer
    x = 4,596,501.63

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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.