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Finding the Third Proportional to 851,784 and 1,728,598

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Solution

The third proportional to 851,784 and 1,728,598 is: 3,507,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,784 : 1,728,598 = 1,728,598 : x
  2. Step 2: Convert to fraction form
    851,784/1,728,598 = 1,728,598/x
  3. Step 3: Cross multiply
    851,784x = 1,728,598 × 1,728,598
  4. Step 4: Simplify right side
    851,784x = 2,988,051,045,604
  5. Step 5: Solve for x
    x = 2,988,051,045,604/851,784
  6. Step 6: Final answer
    x = 3,507,991.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.