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Finding the Third Proportional to 452,655 and 983,157.38

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Solution

The third proportional to 452,655 and 983,157.38 is: 2,135,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,655 : 983,157.38 = 983,157.38 : x
  2. Step 2: Convert to fraction form
    452,655/983,157.38 = 983,157.38/x
  3. Step 3: Cross multiply
    452,655x = 983,157.38 × 983,157.38
  4. Step 4: Simplify right side
    452,655x = 966,598,424,016.89
  5. Step 5: Solve for x
    x = 966,598,424,016.89/452,655
  6. Step 6: Final answer
    x = 2,135,397.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.