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Finding the Third Proportional to 481,536 and 1,037,072

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Solution

The third proportional to 481,536 and 1,037,072 is: 2,233,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,536 : 1,037,072 = 1,037,072 : x
  2. Step 2: Convert to fraction form
    481,536/1,037,072 = 1,037,072/x
  3. Step 3: Cross multiply
    481,536x = 1,037,072 × 1,037,072
  4. Step 4: Simplify right side
    481,536x = 1,075,518,333,184
  5. Step 5: Solve for x
    x = 1,075,518,333,184/481,536
  6. Step 6: Final answer
    x = 2,233,515.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.