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Finding the Third Proportional to 786,645 and 1,716,138

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Solution

The third proportional to 786,645 and 1,716,138 is: 3,743,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,645 : 1,716,138 = 1,716,138 : x
  2. Step 2: Convert to fraction form
    786,645/1,716,138 = 1,716,138/x
  3. Step 3: Cross multiply
    786,645x = 1,716,138 × 1,716,138
  4. Step 4: Simplify right side
    786,645x = 2,945,129,635,044
  5. Step 5: Solve for x
    x = 2,945,129,635,044/786,645
  6. Step 6: Final answer
    x = 3,743,911.97

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