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Finding the Third Proportional to 578,944 and 1,220,096

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Solution

The third proportional to 578,944 and 1,220,096 is: 2,571,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,944 : 1,220,096 = 1,220,096 : x
  2. Step 2: Convert to fraction form
    578,944/1,220,096 = 1,220,096/x
  3. Step 3: Cross multiply
    578,944x = 1,220,096 × 1,220,096
  4. Step 4: Simplify right side
    578,944x = 1,488,634,249,216
  5. Step 5: Solve for x
    x = 1,488,634,249,216/578,944
  6. Step 6: Final answer
    x = 2,571,292.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.