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Finding the Third Proportional to 1,192,127 and 2,554,705

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Solution

The third proportional to 1,192,127 and 2,554,705 is: 5,474,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,127 : 2,554,705 = 2,554,705 : x
  2. Step 2: Convert to fraction form
    1,192,127/2,554,705 = 2,554,705/x
  3. Step 3: Cross multiply
    1,192,127x = 2,554,705 × 2,554,705
  4. Step 4: Simplify right side
    1,192,127x = 6,526,517,637,025
  5. Step 5: Solve for x
    x = 6,526,517,637,025/1,192,127
  6. Step 6: Final answer
    x = 5,474,683.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.