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Finding the Third Proportional to 656,816 and 1,411,860

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Solution

The third proportional to 656,816 and 1,411,860 is: 3,034,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,816 : 1,411,860 = 1,411,860 : x
  2. Step 2: Convert to fraction form
    656,816/1,411,860 = 1,411,860/x
  3. Step 3: Cross multiply
    656,816x = 1,411,860 × 1,411,860
  4. Step 4: Simplify right side
    656,816x = 1,993,348,659,600
  5. Step 5: Solve for x
    x = 1,993,348,659,600/656,816
  6. Step 6: Final answer
    x = 3,034,866.17

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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.