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Finding the Third Proportional to 916,074 and 1,967,796

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Solution

The third proportional to 916,074 and 1,967,796 is: 4,226,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,074 : 1,967,796 = 1,967,796 : x
  2. Step 2: Convert to fraction form
    916,074/1,967,796 = 1,967,796/x
  3. Step 3: Cross multiply
    916,074x = 1,967,796 × 1,967,796
  4. Step 4: Simplify right side
    916,074x = 3,872,221,097,616
  5. Step 5: Solve for x
    x = 3,872,221,097,616/916,074
  6. Step 6: Final answer
    x = 4,226,974.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.