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Finding the Third Proportional to 773,670 and 1,681,848

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Solution

The third proportional to 773,670 and 1,681,848 is: 3,656,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,670 : 1,681,848 = 1,681,848 : x
  2. Step 2: Convert to fraction form
    773,670/1,681,848 = 1,681,848/x
  3. Step 3: Cross multiply
    773,670x = 1,681,848 × 1,681,848
  4. Step 4: Simplify right side
    773,670x = 2,828,612,695,104
  5. Step 5: Solve for x
    x = 2,828,612,695,104/773,670
  6. Step 6: Final answer
    x = 3,656,097.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.