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Finding the Third Proportional to 849,761 and 1,849,378

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Solution

The third proportional to 849,761 and 1,849,378 is: 4,024,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,761 : 1,849,378 = 1,849,378 : x
  2. Step 2: Convert to fraction form
    849,761/1,849,378 = 1,849,378/x
  3. Step 3: Cross multiply
    849,761x = 1,849,378 × 1,849,378
  4. Step 4: Simplify right side
    849,761x = 3,420,198,986,884
  5. Step 5: Solve for x
    x = 3,420,198,986,884/849,761
  6. Step 6: Final answer
    x = 4,024,895.22

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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.