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Finding the Third Proportional to 867,465 and 1,879,722

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Solution

The third proportional to 867,465 and 1,879,722 is: 4,073,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,465 : 1,879,722 = 1,879,722 : x
  2. Step 2: Convert to fraction form
    867,465/1,879,722 = 1,879,722/x
  3. Step 3: Cross multiply
    867,465x = 1,879,722 × 1,879,722
  4. Step 4: Simplify right side
    867,465x = 3,533,354,797,284
  5. Step 5: Solve for x
    x = 3,533,354,797,284/867,465
  6. Step 6: Final answer
    x = 4,073,195.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.