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Finding the Third Proportional to 436,509 and 964,791

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Solution

The third proportional to 436,509 and 964,791 is: 2,132,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,509 : 964,791 = 964,791 : x
  2. Step 2: Convert to fraction form
    436,509/964,791 = 964,791/x
  3. Step 3: Cross multiply
    436,509x = 964,791 × 964,791
  4. Step 4: Simplify right side
    436,509x = 930,821,673,681
  5. Step 5: Solve for x
    x = 930,821,673,681/436,509
  6. Step 6: Final answer
    x = 2,132,422.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.