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Finding the Third Proportional to 742,934 and 1,116,075

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Solution

The third proportional to 742,934 and 1,116,075 is: 1,676,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,934 : 1,116,075 = 1,116,075 : x
  2. Step 2: Convert to fraction form
    742,934/1,116,075 = 1,116,075/x
  3. Step 3: Cross multiply
    742,934x = 1,116,075 × 1,116,075
  4. Step 4: Simplify right side
    742,934x = 1,245,623,405,625
  5. Step 5: Solve for x
    x = 1,245,623,405,625/742,934
  6. Step 6: Final answer
    x = 1,676,627.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.