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Finding the Third Proportional to 588,633 and 1,271,352

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Solution

The third proportional to 588,633 and 1,271,352 is: 2,745,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,633 : 1,271,352 = 1,271,352 : x
  2. Step 2: Convert to fraction form
    588,633/1,271,352 = 1,271,352/x
  3. Step 3: Cross multiply
    588,633x = 1,271,352 × 1,271,352
  4. Step 4: Simplify right side
    588,633x = 1,616,335,907,904
  5. Step 5: Solve for x
    x = 1,616,335,907,904/588,633
  6. Step 6: Final answer
    x = 2,745,914.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.