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Finding the Third Proportional to 774,174 and 1,672,906

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Solution

The third proportional to 774,174 and 1,672,906 is: 3,614,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,174 : 1,672,906 = 1,672,906 : x
  2. Step 2: Convert to fraction form
    774,174/1,672,906 = 1,672,906/x
  3. Step 3: Cross multiply
    774,174x = 1,672,906 × 1,672,906
  4. Step 4: Simplify right side
    774,174x = 2,798,614,484,836
  5. Step 5: Solve for x
    x = 2,798,614,484,836/774,174
  6. Step 6: Final answer
    x = 3,614,968.32

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