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Finding the Third Proportional to 943,488 and 1,974,456

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Solution

The third proportional to 943,488 and 1,974,456 is: 4,131,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,488 : 1,974,456 = 1,974,456 : x
  2. Step 2: Convert to fraction form
    943,488/1,974,456 = 1,974,456/x
  3. Step 3: Cross multiply
    943,488x = 1,974,456 × 1,974,456
  4. Step 4: Simplify right side
    943,488x = 3,898,476,495,936
  5. Step 5: Solve for x
    x = 3,898,476,495,936/943,488
  6. Step 6: Final answer
    x = 4,131,983.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.