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Finding the Third Proportional to 2,255,212 and 4,731,848

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Solution

The third proportional to 2,255,212 and 4,731,848 is: 9,928,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,212 : 4,731,848 = 4,731,848 : x
  2. Step 2: Convert to fraction form
    2,255,212/4,731,848 = 4,731,848/x
  3. Step 3: Cross multiply
    2,255,212x = 4,731,848 × 4,731,848
  4. Step 4: Simplify right side
    2,255,212x = 22,390,385,495,104
  5. Step 5: Solve for x
    x = 22,390,385,495,104/2,255,212
  6. Step 6: Final answer
    x = 9,928,284.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.