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Finding the Third Proportional to 914,716.13 and 1,339,268.63

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Solution

The third proportional to 914,716.13 and 1,339,268.63 is: 1,960,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,716.13 : 1,339,268.63 = 1,339,268.63 : x
  2. Step 2: Convert to fraction form
    914,716.13/1,339,268.63 = 1,339,268.63/x
  3. Step 3: Cross multiply
    914,716.13x = 1,339,268.63 × 1,339,268.63
  4. Step 4: Simplify right side
    914,716.13x = 1,793,640,449,909.39
  5. Step 5: Solve for x
    x = 1,793,640,449,909.39/914,716.13
  6. Step 6: Final answer
    x = 1,960,871.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.