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Finding the Third Proportional to 469,062 and 1,106,181

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Solution

The third proportional to 469,062 and 1,106,181 is: 2,608,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,062 : 1,106,181 = 1,106,181 : x
  2. Step 2: Convert to fraction form
    469,062/1,106,181 = 1,106,181/x
  3. Step 3: Cross multiply
    469,062x = 1,106,181 × 1,106,181
  4. Step 4: Simplify right side
    469,062x = 1,223,636,404,761
  5. Step 5: Solve for x
    x = 1,223,636,404,761/469,062
  6. Step 6: Final answer
    x = 2,608,687.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.