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Finding the Third Proportional to 476,601 and 1,047,657

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Solution

The third proportional to 476,601 and 1,047,657 is: 2,302,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,601 : 1,047,657 = 1,047,657 : x
  2. Step 2: Convert to fraction form
    476,601/1,047,657 = 1,047,657/x
  3. Step 3: Cross multiply
    476,601x = 1,047,657 × 1,047,657
  4. Step 4: Simplify right side
    476,601x = 1,097,585,189,649
  5. Step 5: Solve for x
    x = 1,097,585,189,649/476,601
  6. Step 6: Final answer
    x = 2,302,943.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.