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Finding the Third Proportional to 556,016 and 1,220,288

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Solution

The third proportional to 556,016 and 1,220,288 is: 2,678,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,016 : 1,220,288 = 1,220,288 : x
  2. Step 2: Convert to fraction form
    556,016/1,220,288 = 1,220,288/x
  3. Step 3: Cross multiply
    556,016x = 1,220,288 × 1,220,288
  4. Step 4: Simplify right side
    556,016x = 1,489,102,802,944
  5. Step 5: Solve for x
    x = 1,489,102,802,944/556,016
  6. Step 6: Final answer
    x = 2,678,165.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.