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Finding the Third Proportional to 774,090 and 1,196,091

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Solution

The third proportional to 774,090 and 1,196,091 is: 1,848,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,090 : 1,196,091 = 1,196,091 : x
  2. Step 2: Convert to fraction form
    774,090/1,196,091 = 1,196,091/x
  3. Step 3: Cross multiply
    774,090x = 1,196,091 × 1,196,091
  4. Step 4: Simplify right side
    774,090x = 1,430,633,680,281
  5. Step 5: Solve for x
    x = 1,430,633,680,281/774,090
  6. Step 6: Final answer
    x = 1,848,149.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.