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Finding the Third Proportional to 1,084,032 and 1,610,328

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Solution

The third proportional to 1,084,032 and 1,610,328 is: 2,392,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,032 : 1,610,328 = 1,610,328 : x
  2. Step 2: Convert to fraction form
    1,084,032/1,610,328 = 1,610,328/x
  3. Step 3: Cross multiply
    1,084,032x = 1,610,328 × 1,610,328
  4. Step 4: Simplify right side
    1,084,032x = 2,593,156,267,584
  5. Step 5: Solve for x
    x = 2,593,156,267,584/1,084,032
  6. Step 6: Final answer
    x = 2,392,139.96

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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.