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Finding the Third Proportional to 468,442 and 1,041,692

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Solution

The third proportional to 468,442 and 1,041,692 is: 2,316,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,442 : 1,041,692 = 1,041,692 : x
  2. Step 2: Convert to fraction form
    468,442/1,041,692 = 1,041,692/x
  3. Step 3: Cross multiply
    468,442x = 1,041,692 × 1,041,692
  4. Step 4: Simplify right side
    468,442x = 1,085,122,222,864
  5. Step 5: Solve for x
    x = 1,085,122,222,864/468,442
  6. Step 6: Final answer
    x = 2,316,449.47

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.