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Finding the Third Proportional to 1,989,728 and 4,263,361

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Solution

The third proportional to 1,989,728 and 4,263,361 is: 9,135,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,728 : 4,263,361 = 4,263,361 : x
  2. Step 2: Convert to fraction form
    1,989,728/4,263,361 = 4,263,361/x
  3. Step 3: Cross multiply
    1,989,728x = 4,263,361 × 4,263,361
  4. Step 4: Simplify right side
    1,989,728x = 18,176,247,016,321
  5. Step 5: Solve for x
    x = 18,176,247,016,321/1,989,728
  6. Step 6: Final answer
    x = 9,135,041.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.