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Finding the Third Proportional to 849,147.75 and 1,363,518

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Solution

The third proportional to 849,147.75 and 1,363,518 is: 2,189,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,147.75 : 1,363,518 = 1,363,518 : x
  2. Step 2: Convert to fraction form
    849,147.75/1,363,518 = 1,363,518/x
  3. Step 3: Cross multiply
    849,147.75x = 1,363,518 × 1,363,518
  4. Step 4: Simplify right side
    849,147.75x = 1,859,181,336,324
  5. Step 5: Solve for x
    x = 1,859,181,336,324/849,147.75
  6. Step 6: Final answer
    x = 2,189,467.42

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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.