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Finding the Third Proportional to 523,851 and 1,143,657

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Solution

The third proportional to 523,851 and 1,143,657 is: 2,496,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,851 : 1,143,657 = 1,143,657 : x
  2. Step 2: Convert to fraction form
    523,851/1,143,657 = 1,143,657/x
  3. Step 3: Cross multiply
    523,851x = 1,143,657 × 1,143,657
  4. Step 4: Simplify right side
    523,851x = 1,307,951,333,649
  5. Step 5: Solve for x
    x = 1,307,951,333,649/523,851
  6. Step 6: Final answer
    x = 2,496,800.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.