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Finding the Third Proportional to 536,304 and 1,059,072

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Solution

The third proportional to 536,304 and 1,059,072 is: 2,091,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,304 : 1,059,072 = 1,059,072 : x
  2. Step 2: Convert to fraction form
    536,304/1,059,072 = 1,059,072/x
  3. Step 3: Cross multiply
    536,304x = 1,059,072 × 1,059,072
  4. Step 4: Simplify right side
    536,304x = 1,121,633,501,184
  5. Step 5: Solve for x
    x = 1,121,633,501,184/536,304
  6. Step 6: Final answer
    x = 2,091,413.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.