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Finding the Third Proportional to 833,378 and 1,268,043

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Solution

The third proportional to 833,378 and 1,268,043 is: 1,929,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,378 : 1,268,043 = 1,268,043 : x
  2. Step 2: Convert to fraction form
    833,378/1,268,043 = 1,268,043/x
  3. Step 3: Cross multiply
    833,378x = 1,268,043 × 1,268,043
  4. Step 4: Simplify right side
    833,378x = 1,607,933,049,849
  5. Step 5: Solve for x
    x = 1,607,933,049,849/833,378
  6. Step 6: Final answer
    x = 1,929,416.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.