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Finding the Third Proportional to 505,722 and 1,075,806

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Solution

The third proportional to 505,722 and 1,075,806 is: 2,288,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,722 : 1,075,806 = 1,075,806 : x
  2. Step 2: Convert to fraction form
    505,722/1,075,806 = 1,075,806/x
  3. Step 3: Cross multiply
    505,722x = 1,075,806 × 1,075,806
  4. Step 4: Simplify right side
    505,722x = 1,157,358,549,636
  5. Step 5: Solve for x
    x = 1,157,358,549,636/505,722
  6. Step 6: Final answer
    x = 2,288,527.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.