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Finding the Third Proportional to 643,820 and 1,385,816

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Solution

The third proportional to 643,820 and 1,385,816 is: 2,982,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,820 : 1,385,816 = 1,385,816 : x
  2. Step 2: Convert to fraction form
    643,820/1,385,816 = 1,385,816/x
  3. Step 3: Cross multiply
    643,820x = 1,385,816 × 1,385,816
  4. Step 4: Simplify right side
    643,820x = 1,920,485,985,856
  5. Step 5: Solve for x
    x = 1,920,485,985,856/643,820
  6. Step 6: Final answer
    x = 2,982,954.84

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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.