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Finding the Third Proportional to 773,674 and 1,681,856

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Solution

The third proportional to 773,674 and 1,681,856 is: 3,656,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,674 : 1,681,856 = 1,681,856 : x
  2. Step 2: Convert to fraction form
    773,674/1,681,856 = 1,681,856/x
  3. Step 3: Cross multiply
    773,674x = 1,681,856 × 1,681,856
  4. Step 4: Simplify right side
    773,674x = 2,828,639,604,736
  5. Step 5: Solve for x
    x = 2,828,639,604,736/773,674
  6. Step 6: Final answer
    x = 3,656,113.05

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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.