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Finding the Third Proportional to 1,197,354 and 1,895,619

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Solution

The third proportional to 1,197,354 and 1,895,619 is: 3,001,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,354 : 1,895,619 = 1,895,619 : x
  2. Step 2: Convert to fraction form
    1,197,354/1,895,619 = 1,895,619/x
  3. Step 3: Cross multiply
    1,197,354x = 1,895,619 × 1,895,619
  4. Step 4: Simplify right side
    1,197,354x = 3,593,371,393,161
  5. Step 5: Solve for x
    x = 3,593,371,393,161/1,197,354
  6. Step 6: Final answer
    x = 3,001,093.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.