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Finding the Third Proportional to 2,170,477.69 and 4,714,608.38

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Solution

The third proportional to 2,170,477.69 and 4,714,608.38 is: 10,240,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,477.69 : 4,714,608.38 = 4,714,608.38 : x
  2. Step 2: Convert to fraction form
    2,170,477.69/4,714,608.38 = 4,714,608.38/x
  3. Step 3: Cross multiply
    2,170,477.69x = 4,714,608.38 × 4,714,608.38
  4. Step 4: Simplify right side
    2,170,477.69x = 22,227,532,129,620.14
  5. Step 5: Solve for x
    x = 22,227,532,129,620.14/2,170,477.69
  6. Step 6: Final answer
    x = 10,240,848.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.