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Finding the Third Proportional to 505,727 and 1,075,816

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Solution

The third proportional to 505,727 and 1,075,816 is: 2,288,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,727 : 1,075,816 = 1,075,816 : x
  2. Step 2: Convert to fraction form
    505,727/1,075,816 = 1,075,816/x
  3. Step 3: Cross multiply
    505,727x = 1,075,816 × 1,075,816
  4. Step 4: Simplify right side
    505,727x = 1,157,380,065,856
  5. Step 5: Solve for x
    x = 1,157,380,065,856/505,727
  6. Step 6: Final answer
    x = 2,288,547.11

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