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Finding the Third Proportional to 1,762,546 and 2,378,094

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Solution

The third proportional to 1,762,546 and 2,378,094 is: 3,208,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,546 : 2,378,094 = 2,378,094 : x
  2. Step 2: Convert to fraction form
    1,762,546/2,378,094 = 2,378,094/x
  3. Step 3: Cross multiply
    1,762,546x = 2,378,094 × 2,378,094
  4. Step 4: Simplify right side
    1,762,546x = 5,655,331,072,836
  5. Step 5: Solve for x
    x = 5,655,331,072,836/1,762,546
  6. Step 6: Final answer
    x = 3,208,614.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.