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Finding the Third Proportional to 452,690 and 983,260

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Solution

The third proportional to 452,690 and 983,260 is: 2,135,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,690 : 983,260 = 983,260 : x
  2. Step 2: Convert to fraction form
    452,690/983,260 = 983,260/x
  3. Step 3: Cross multiply
    452,690x = 983,260 × 983,260
  4. Step 4: Simplify right side
    452,690x = 966,800,227,600
  5. Step 5: Solve for x
    x = 966,800,227,600/452,690
  6. Step 6: Final answer
    x = 2,135,678.34

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Why These Related Problems?

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