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Finding the Third Proportional to 453,620 and 964,588

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Solution

The third proportional to 453,620 and 964,588 is: 2,051,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,620 : 964,588 = 964,588 : x
  2. Step 2: Convert to fraction form
    453,620/964,588 = 964,588/x
  3. Step 3: Cross multiply
    453,620x = 964,588 × 964,588
  4. Step 4: Simplify right side
    453,620x = 930,430,009,744
  5. Step 5: Solve for x
    x = 930,430,009,744/453,620
  6. Step 6: Final answer
    x = 2,051,122.11

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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.