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Finding the Third Proportional to 1,583,758 and 2,549,949

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Solution

The third proportional to 1,583,758 and 2,549,949 is: 4,105,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,758 : 2,549,949 = 2,549,949 : x
  2. Step 2: Convert to fraction form
    1,583,758/2,549,949 = 2,549,949/x
  3. Step 3: Cross multiply
    1,583,758x = 2,549,949 × 2,549,949
  4. Step 4: Simplify right side
    1,583,758x = 6,502,239,902,601
  5. Step 5: Solve for x
    x = 6,502,239,902,601/1,583,758
  6. Step 6: Final answer
    x = 4,105,576.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.