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Finding the Third Proportional to 452,692 and 983,264

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Solution

The third proportional to 452,692 and 983,264 is: 2,135,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,692 : 983,264 = 983,264 : x
  2. Step 2: Convert to fraction form
    452,692/983,264 = 983,264/x
  3. Step 3: Cross multiply
    452,692x = 983,264 × 983,264
  4. Step 4: Simplify right side
    452,692x = 966,808,093,696
  5. Step 5: Solve for x
    x = 966,808,093,696/452,692
  6. Step 6: Final answer
    x = 2,135,686.28

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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.