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Finding the Third Proportional to 452,655 and 983,190

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Solution

The third proportional to 452,655 and 983,190 is: 2,135,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,655 : 983,190 = 983,190 : x
  2. Step 2: Convert to fraction form
    452,655/983,190 = 983,190/x
  3. Step 3: Cross multiply
    452,655x = 983,190 × 983,190
  4. Step 4: Simplify right side
    452,655x = 966,662,576,100
  5. Step 5: Solve for x
    x = 966,662,576,100/452,655
  6. Step 6: Final answer
    x = 2,135,539.38

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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.