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Finding the Third Proportional to 2,287,130 and 4,870,072

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Solution

The third proportional to 2,287,130 and 4,870,072 is: 10,370,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,130 : 4,870,072 = 4,870,072 : x
  2. Step 2: Convert to fraction form
    2,287,130/4,870,072 = 4,870,072/x
  3. Step 3: Cross multiply
    2,287,130x = 4,870,072 × 4,870,072
  4. Step 4: Simplify right side
    2,287,130x = 23,717,601,285,184
  5. Step 5: Solve for x
    x = 23,717,601,285,184/2,287,130
  6. Step 6: Final answer
    x = 10,370,027.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.