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Finding the Third Proportional to 1,197,086 and 2,584,090

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Solution

The third proportional to 1,197,086 and 2,584,090 is: 5,578,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,086 : 2,584,090 = 2,584,090 : x
  2. Step 2: Convert to fraction form
    1,197,086/2,584,090 = 2,584,090/x
  3. Step 3: Cross multiply
    1,197,086x = 2,584,090 × 2,584,090
  4. Step 4: Simplify right side
    1,197,086x = 6,677,521,128,100
  5. Step 5: Solve for x
    x = 6,677,521,128,100/1,197,086
  6. Step 6: Final answer
    x = 5,578,146.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.