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Finding the Third Proportional to 2,898,178 and 6,356,228

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Solution

The third proportional to 2,898,178 and 6,356,228 is: 13,940,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,178 : 6,356,228 = 6,356,228 : x
  2. Step 2: Convert to fraction form
    2,898,178/6,356,228 = 6,356,228/x
  3. Step 3: Cross multiply
    2,898,178x = 6,356,228 × 6,356,228
  4. Step 4: Simplify right side
    2,898,178x = 40,401,634,387,984
  5. Step 5: Solve for x
    x = 40,401,634,387,984/2,898,178
  6. Step 6: Final answer
    x = 13,940,356.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.