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Finding the Third Proportional to 860,058 and 1,290,411

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Solution

The third proportional to 860,058 and 1,290,411 is: 1,936,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,058 : 1,290,411 = 1,290,411 : x
  2. Step 2: Convert to fraction form
    860,058/1,290,411 = 1,290,411/x
  3. Step 3: Cross multiply
    860,058x = 1,290,411 × 1,290,411
  4. Step 4: Simplify right side
    860,058x = 1,665,160,548,921
  5. Step 5: Solve for x
    x = 1,665,160,548,921/860,058
  6. Step 6: Final answer
    x = 1,936,102.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.