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Finding the Third Proportional to 873,938 and 1,329,146

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Solution

The third proportional to 873,938 and 1,329,146 is: 2,021,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,938 : 1,329,146 = 1,329,146 : x
  2. Step 2: Convert to fraction form
    873,938/1,329,146 = 1,329,146/x
  3. Step 3: Cross multiply
    873,938x = 1,329,146 × 1,329,146
  4. Step 4: Simplify right side
    873,938x = 1,766,629,089,316
  5. Step 5: Solve for x
    x = 1,766,629,089,316/873,938
  6. Step 6: Final answer
    x = 2,021,458.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.