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Finding the Third Proportional to 2,247,804 and 4,817,178

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Solution

The third proportional to 2,247,804 and 4,817,178 is: 10,323,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247,804 : 4,817,178 = 4,817,178 : x
  2. Step 2: Convert to fraction form
    2,247,804/4,817,178 = 4,817,178/x
  3. Step 3: Cross multiply
    2,247,804x = 4,817,178 × 4,817,178
  4. Step 4: Simplify right side
    2,247,804x = 23,205,203,883,684
  5. Step 5: Solve for x
    x = 23,205,203,883,684/2,247,804
  6. Step 6: Final answer
    x = 10,323,499.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.