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Finding the Third Proportional to 1,808,823 and 2,879,283.75

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Solution

The third proportional to 1,808,823 and 2,879,283.75 is: 4,583,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808,823 : 2,879,283.75 = 2,879,283.75 : x
  2. Step 2: Convert to fraction form
    1,808,823/2,879,283.75 = 2,879,283.75/x
  3. Step 3: Cross multiply
    1,808,823x = 2,879,283.75 × 2,879,283.75
  4. Step 4: Simplify right side
    1,808,823x = 8,290,274,913,014.06
  5. Step 5: Solve for x
    x = 8,290,274,913,014.06/1,808,823
  6. Step 6: Final answer
    x = 4,583,242.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.