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Finding the Third Proportional to 705,918 and 1,449,364.50

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Solution

The third proportional to 705,918 and 1,449,364.50 is: 2,975,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,918 : 1,449,364.50 = 1,449,364.50 : x
  2. Step 2: Convert to fraction form
    705,918/1,449,364.50 = 1,449,364.50/x
  3. Step 3: Cross multiply
    705,918x = 1,449,364.50 × 1,449,364.50
  4. Step 4: Simplify right side
    705,918x = 2,100,657,453,860.25
  5. Step 5: Solve for x
    x = 2,100,657,453,860.25/705,918
  6. Step 6: Final answer
    x = 2,975,781.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.