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Finding the Third Proportional to 529,740 and 1,149,786

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Solution

The third proportional to 529,740 and 1,149,786 is: 2,495,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,740 : 1,149,786 = 1,149,786 : x
  2. Step 2: Convert to fraction form
    529,740/1,149,786 = 1,149,786/x
  3. Step 3: Cross multiply
    529,740x = 1,149,786 × 1,149,786
  4. Step 4: Simplify right side
    529,740x = 1,322,007,845,796
  5. Step 5: Solve for x
    x = 1,322,007,845,796/529,740
  6. Step 6: Final answer
    x = 2,495,578.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.