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Finding the Third Proportional to 728,368 and 1,601,266

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Solution

The third proportional to 728,368 and 1,601,266 is: 3,520,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,368 : 1,601,266 = 1,601,266 : x
  2. Step 2: Convert to fraction form
    728,368/1,601,266 = 1,601,266/x
  3. Step 3: Cross multiply
    728,368x = 1,601,266 × 1,601,266
  4. Step 4: Simplify right side
    728,368x = 2,564,052,802,756
  5. Step 5: Solve for x
    x = 2,564,052,802,756/728,368
  6. Step 6: Final answer
    x = 3,520,271.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.