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Finding the Third Proportional to 1,243,916 and 2,613,164

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Solution

The third proportional to 1,243,916 and 2,613,164 is: 5,489,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,916 : 2,613,164 = 2,613,164 : x
  2. Step 2: Convert to fraction form
    1,243,916/2,613,164 = 2,613,164/x
  3. Step 3: Cross multiply
    1,243,916x = 2,613,164 × 2,613,164
  4. Step 4: Simplify right side
    1,243,916x = 6,828,626,090,896
  5. Step 5: Solve for x
    x = 6,828,626,090,896/1,243,916
  6. Step 6: Final answer
    x = 5,489,619.95

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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.