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Finding the Third Proportional to 523,673 and 1,127,536

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Solution

The third proportional to 523,673 and 1,127,536 is: 2,427,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,673 : 1,127,536 = 1,127,536 : x
  2. Step 2: Convert to fraction form
    523,673/1,127,536 = 1,127,536/x
  3. Step 3: Cross multiply
    523,673x = 1,127,536 × 1,127,536
  4. Step 4: Simplify right side
    523,673x = 1,271,337,431,296
  5. Step 5: Solve for x
    x = 1,271,337,431,296/523,673
  6. Step 6: Final answer
    x = 2,427,731.49

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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.