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Finding the Third Proportional to 2,074,905 and 4,252,224

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Solution

The third proportional to 2,074,905 and 4,252,224 is: 8,714,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,905 : 4,252,224 = 4,252,224 : x
  2. Step 2: Convert to fraction form
    2,074,905/4,252,224 = 4,252,224/x
  3. Step 3: Cross multiply
    2,074,905x = 4,252,224 × 4,252,224
  4. Step 4: Simplify right side
    2,074,905x = 18,081,408,946,176
  5. Step 5: Solve for x
    x = 18,081,408,946,176/2,074,905
  6. Step 6: Final answer
    x = 8,714,330.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.