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Finding the Third Proportional to 1,243,838 and 2,613,003

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Solution

The third proportional to 1,243,838 and 2,613,003 is: 5,489,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,838 : 2,613,003 = 2,613,003 : x
  2. Step 2: Convert to fraction form
    1,243,838/2,613,003 = 2,613,003/x
  3. Step 3: Cross multiply
    1,243,838x = 2,613,003 × 2,613,003
  4. Step 4: Simplify right side
    1,243,838x = 6,827,784,678,009
  5. Step 5: Solve for x
    x = 6,827,784,678,009/1,243,838
  6. Step 6: Final answer
    x = 5,489,287.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.