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Finding the Third Proportional to 422,072 and 910,575

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Solution

The third proportional to 422,072 and 910,575 is: 1,964,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,072 : 910,575 = 910,575 : x
  2. Step 2: Convert to fraction form
    422,072/910,575 = 910,575/x
  3. Step 3: Cross multiply
    422,072x = 910,575 × 910,575
  4. Step 4: Simplify right side
    422,072x = 829,146,830,625
  5. Step 5: Solve for x
    x = 829,146,830,625/422,072
  6. Step 6: Final answer
    x = 1,964,467.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.