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Finding the Third Proportional to 1,266,484.50 and 2,584,647

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Solution

The third proportional to 1,266,484.50 and 2,584,647 is: 5,274,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,484.50 : 2,584,647 = 2,584,647 : x
  2. Step 2: Convert to fraction form
    1,266,484.50/2,584,647 = 2,584,647/x
  3. Step 3: Cross multiply
    1,266,484.50x = 2,584,647 × 2,584,647
  4. Step 4: Simplify right side
    1,266,484.50x = 6,680,400,114,609
  5. Step 5: Solve for x
    x = 6,680,400,114,609/1,266,484.50
  6. Step 6: Final answer
    x = 5,274,758.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.