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Finding the Third Proportional to 472,565 and 1,036,991

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Solution

The third proportional to 472,565 and 1,036,991 is: 2,275,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,565 : 1,036,991 = 1,036,991 : x
  2. Step 2: Convert to fraction form
    472,565/1,036,991 = 1,036,991/x
  3. Step 3: Cross multiply
    472,565x = 1,036,991 × 1,036,991
  4. Step 4: Simplify right side
    472,565x = 1,075,350,334,081
  5. Step 5: Solve for x
    x = 1,075,350,334,081/472,565
  6. Step 6: Final answer
    x = 2,275,560.68

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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.