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Finding the Third Proportional to 452,052 and 964,080

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Solution

The third proportional to 452,052 and 964,080 is: 2,056,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,052 : 964,080 = 964,080 : x
  2. Step 2: Convert to fraction form
    452,052/964,080 = 964,080/x
  3. Step 3: Cross multiply
    452,052x = 964,080 × 964,080
  4. Step 4: Simplify right side
    452,052x = 929,450,246,400
  5. Step 5: Solve for x
    x = 929,450,246,400/452,052
  6. Step 6: Final answer
    x = 2,056,069.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.