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Finding the Third Proportional to 850,041 and 1,849,617

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Solution

The third proportional to 850,041 and 1,849,617 is: 4,024,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,041 : 1,849,617 = 1,849,617 : x
  2. Step 2: Convert to fraction form
    850,041/1,849,617 = 1,849,617/x
  3. Step 3: Cross multiply
    850,041x = 1,849,617 × 1,849,617
  4. Step 4: Simplify right side
    850,041x = 3,421,083,046,689
  5. Step 5: Solve for x
    x = 3,421,083,046,689/850,041
  6. Step 6: Final answer
    x = 4,024,609.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.