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Finding the Third Proportional to 1,114,305 and 2,405,943

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Solution

The third proportional to 1,114,305 and 2,405,943 is: 5,194,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,305 : 2,405,943 = 2,405,943 : x
  2. Step 2: Convert to fraction form
    1,114,305/2,405,943 = 2,405,943/x
  3. Step 3: Cross multiply
    1,114,305x = 2,405,943 × 2,405,943
  4. Step 4: Simplify right side
    1,114,305x = 5,788,561,719,249
  5. Step 5: Solve for x
    x = 5,788,561,719,249/1,114,305
  6. Step 6: Final answer
    x = 5,194,773.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.