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Finding the Third Proportional to 1,340,127 and 2,890,206

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Solution

The third proportional to 1,340,127 and 2,890,206 is: 6,233,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,127 : 2,890,206 = 2,890,206 : x
  2. Step 2: Convert to fraction form
    1,340,127/2,890,206 = 2,890,206/x
  3. Step 3: Cross multiply
    1,340,127x = 2,890,206 × 2,890,206
  4. Step 4: Simplify right side
    1,340,127x = 8,353,290,722,436
  5. Step 5: Solve for x
    x = 8,353,290,722,436/1,340,127
  6. Step 6: Final answer
    x = 6,233,208.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.