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Finding the Third Proportional to 450,090 and 957,474

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Solution

The third proportional to 450,090 and 957,474 is: 2,036,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,090 : 957,474 = 957,474 : x
  2. Step 2: Convert to fraction form
    450,090/957,474 = 957,474/x
  3. Step 3: Cross multiply
    450,090x = 957,474 × 957,474
  4. Step 4: Simplify right side
    450,090x = 916,756,460,676
  5. Step 5: Solve for x
    x = 916,756,460,676/450,090
  6. Step 6: Final answer
    x = 2,036,829.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.