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Finding the Third Proportional to 840,254 and 1,260,995

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Solution

The third proportional to 840,254 and 1,260,995 is: 1,892,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,254 : 1,260,995 = 1,260,995 : x
  2. Step 2: Convert to fraction form
    840,254/1,260,995 = 1,260,995/x
  3. Step 3: Cross multiply
    840,254x = 1,260,995 × 1,260,995
  4. Step 4: Simplify right side
    840,254x = 1,590,108,390,025
  5. Step 5: Solve for x
    x = 1,590,108,390,025/840,254
  6. Step 6: Final answer
    x = 1,892,413.95

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Why These Related Problems?

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