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Finding the Third Proportional to 1,084,006 and 1,610,292

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Solution

The third proportional to 1,084,006 and 1,610,292 is: 2,392,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,006 : 1,610,292 = 1,610,292 : x
  2. Step 2: Convert to fraction form
    1,084,006/1,610,292 = 1,610,292/x
  3. Step 3: Cross multiply
    1,084,006x = 1,610,292 × 1,610,292
  4. Step 4: Simplify right side
    1,084,006x = 2,593,040,325,264
  5. Step 5: Solve for x
    x = 2,593,040,325,264/1,084,006
  6. Step 6: Final answer
    x = 2,392,090.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.