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Finding the Third Proportional to 2,141,740 and 4,656,722

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Solution

The third proportional to 2,141,740 and 4,656,722 is: 10,124,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,740 : 4,656,722 = 4,656,722 : x
  2. Step 2: Convert to fraction form
    2,141,740/4,656,722 = 4,656,722/x
  3. Step 3: Cross multiply
    2,141,740x = 4,656,722 × 4,656,722
  4. Step 4: Simplify right side
    2,141,740x = 21,685,059,785,284
  5. Step 5: Solve for x
    x = 21,685,059,785,284/2,141,740
  6. Step 6: Final answer
    x = 10,124,973.05

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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.