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Finding the Third Proportional to 579,266 and 1,211,467

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Solution

The third proportional to 579,266 and 1,211,467 is: 2,533,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,266 : 1,211,467 = 1,211,467 : x
  2. Step 2: Convert to fraction form
    579,266/1,211,467 = 1,211,467/x
  3. Step 3: Cross multiply
    579,266x = 1,211,467 × 1,211,467
  4. Step 4: Simplify right side
    579,266x = 1,467,652,292,089
  5. Step 5: Solve for x
    x = 1,467,652,292,089/579,266
  6. Step 6: Final answer
    x = 2,533,641.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.