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Finding the Third Proportional to 757,063.69 and 1,163,661.05

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Solution

The third proportional to 757,063.69 and 1,163,661.05 is: 1,788,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,063.69 : 1,163,661.05 = 1,163,661.05 : x
  2. Step 2: Convert to fraction form
    757,063.69/1,163,661.05 = 1,163,661.05/x
  3. Step 3: Cross multiply
    757,063.69x = 1,163,661.05 × 1,163,661.05
  4. Step 4: Simplify right side
    757,063.69x = 1,354,107,032,014.22
  5. Step 5: Solve for x
    x = 1,354,107,032,014.22/757,063.69
  6. Step 6: Final answer
    x = 1,788,630.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.