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Finding the Third Proportional to 505,012 and 1,105,046

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Solution

The third proportional to 505,012 and 1,105,046 is: 2,418,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,012 : 1,105,046 = 1,105,046 : x
  2. Step 2: Convert to fraction form
    505,012/1,105,046 = 1,105,046/x
  3. Step 3: Cross multiply
    505,012x = 1,105,046 × 1,105,046
  4. Step 4: Simplify right side
    505,012x = 1,221,126,662,116
  5. Step 5: Solve for x
    x = 1,221,126,662,116/505,012
  6. Step 6: Final answer
    x = 2,418,015.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.