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Finding the Third Proportional to 959,024 and 2,214,396

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Solution

The third proportional to 959,024 and 2,214,396 is: 5,113,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,024 : 2,214,396 = 2,214,396 : x
  2. Step 2: Convert to fraction form
    959,024/2,214,396 = 2,214,396/x
  3. Step 3: Cross multiply
    959,024x = 2,214,396 × 2,214,396
  4. Step 4: Simplify right side
    959,024x = 4,903,549,644,816
  5. Step 5: Solve for x
    x = 4,903,549,644,816/959,024
  6. Step 6: Final answer
    x = 5,113,062.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.