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Finding the Third Proportional to 774,212 and 1,670,896

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Solution

The third proportional to 774,212 and 1,670,896 is: 3,606,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,212 : 1,670,896 = 1,670,896 : x
  2. Step 2: Convert to fraction form
    774,212/1,670,896 = 1,670,896/x
  3. Step 3: Cross multiply
    774,212x = 1,670,896 × 1,670,896
  4. Step 4: Simplify right side
    774,212x = 2,791,893,442,816
  5. Step 5: Solve for x
    x = 2,791,893,442,816/774,212
  6. Step 6: Final answer
    x = 3,606,109.75

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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.