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Finding the Third Proportional to 903,075.75 and 1,238,361.75

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Solution

The third proportional to 903,075.75 and 1,238,361.75 is: 1,698,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,075.75 : 1,238,361.75 = 1,238,361.75 : x
  2. Step 2: Convert to fraction form
    903,075.75/1,238,361.75 = 1,238,361.75/x
  3. Step 3: Cross multiply
    903,075.75x = 1,238,361.75 × 1,238,361.75
  4. Step 4: Simplify right side
    903,075.75x = 1,533,539,823,863.06
  5. Step 5: Solve for x
    x = 1,533,539,823,863.06/903,075.75
  6. Step 6: Final answer
    x = 1,698,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.