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Finding the Third Proportional to 757,090.13 and 1,163,696.63

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Solution

The third proportional to 757,090.13 and 1,163,696.63 is: 1,788,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,090.13 : 1,163,696.63 = 1,163,696.63 : x
  2. Step 2: Convert to fraction form
    757,090.13/1,163,696.63 = 1,163,696.63/x
  3. Step 3: Cross multiply
    757,090.13x = 1,163,696.63 × 1,163,696.63
  4. Step 4: Simplify right side
    757,090.13x = 1,354,189,835,036.39
  5. Step 5: Solve for x
    x = 1,354,189,835,036.39/757,090.13
  6. Step 6: Final answer
    x = 1,788,677.19

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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.