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Finding the Third Proportional to 1,365,127 and 2,962,305

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Solution

The third proportional to 1,365,127 and 2,962,305 is: 6,428,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,127 : 2,962,305 = 2,962,305 : x
  2. Step 2: Convert to fraction form
    1,365,127/2,962,305 = 2,962,305/x
  3. Step 3: Cross multiply
    1,365,127x = 2,962,305 × 2,962,305
  4. Step 4: Simplify right side
    1,365,127x = 8,775,250,913,025
  5. Step 5: Solve for x
    x = 8,775,250,913,025/1,365,127
  6. Step 6: Final answer
    x = 6,428,157.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.