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Finding the Third Proportional to 454,209 and 985,689.75

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Solution

The third proportional to 454,209 and 985,689.75 is: 2,139,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,209 : 985,689.75 = 985,689.75 : x
  2. Step 2: Convert to fraction form
    454,209/985,689.75 = 985,689.75/x
  3. Step 3: Cross multiply
    454,209x = 985,689.75 × 985,689.75
  4. Step 4: Simplify right side
    454,209x = 971,584,283,255.06
  5. Step 5: Solve for x
    x = 971,584,283,255.06/454,209
  6. Step 6: Final answer
    x = 2,139,068.76

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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.