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Finding the Third Proportional to 2,129,907 and 4,685,632

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Solution

The third proportional to 2,129,907 and 4,685,632 is: 10,308,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,907 : 4,685,632 = 4,685,632 : x
  2. Step 2: Convert to fraction form
    2,129,907/4,685,632 = 4,685,632/x
  3. Step 3: Cross multiply
    2,129,907x = 4,685,632 × 4,685,632
  4. Step 4: Simplify right side
    2,129,907x = 21,955,147,239,424
  5. Step 5: Solve for x
    x = 21,955,147,239,424/2,129,907
  6. Step 6: Final answer
    x = 10,308,030.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.