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Finding the Third Proportional to 436,610 and 964,984

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Solution

The third proportional to 436,610 and 964,984 is: 2,132,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,610 : 964,984 = 964,984 : x
  2. Step 2: Convert to fraction form
    436,610/964,984 = 964,984/x
  3. Step 3: Cross multiply
    436,610x = 964,984 × 964,984
  4. Step 4: Simplify right side
    436,610x = 931,194,120,256
  5. Step 5: Solve for x
    x = 931,194,120,256/436,610
  6. Step 6: Final answer
    x = 2,132,782.39

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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.