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Finding the Third Proportional to 520,944 and 1,069,504

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Solution

The third proportional to 520,944 and 1,069,504 is: 2,195,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,944 : 1,069,504 = 1,069,504 : x
  2. Step 2: Convert to fraction form
    520,944/1,069,504 = 1,069,504/x
  3. Step 3: Cross multiply
    520,944x = 1,069,504 × 1,069,504
  4. Step 4: Simplify right side
    520,944x = 1,143,838,806,016
  5. Step 5: Solve for x
    x = 1,143,838,806,016/520,944
  6. Step 6: Final answer
    x = 2,195,703.96

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.