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Finding the Third Proportional to 472,588 and 1,037,036

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Solution

The third proportional to 472,588 and 1,037,036 is: 2,275,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,588 : 1,037,036 = 1,037,036 : x
  2. Step 2: Convert to fraction form
    472,588/1,037,036 = 1,037,036/x
  3. Step 3: Cross multiply
    472,588x = 1,037,036 × 1,037,036
  4. Step 4: Simplify right side
    472,588x = 1,075,443,665,296
  5. Step 5: Solve for x
    x = 1,075,443,665,296/472,588
  6. Step 6: Final answer
    x = 2,275,647.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.