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Finding the Third Proportional to 453,622 and 964,592

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Solution

The third proportional to 453,622 and 964,592 is: 2,051,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,622 : 964,592 = 964,592 : x
  2. Step 2: Convert to fraction form
    453,622/964,592 = 964,592/x
  3. Step 3: Cross multiply
    453,622x = 964,592 × 964,592
  4. Step 4: Simplify right side
    453,622x = 930,437,726,464
  5. Step 5: Solve for x
    x = 930,437,726,464/453,622
  6. Step 6: Final answer
    x = 2,051,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.