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Finding the Third Proportional to 442,955 and 971,716

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Solution

The third proportional to 442,955 and 971,716 is: 2,131,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,955 : 971,716 = 971,716 : x
  2. Step 2: Convert to fraction form
    442,955/971,716 = 971,716/x
  3. Step 3: Cross multiply
    442,955x = 971,716 × 971,716
  4. Step 4: Simplify right side
    442,955x = 944,231,984,656
  5. Step 5: Solve for x
    x = 944,231,984,656/442,955
  6. Step 6: Final answer
    x = 2,131,665.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.