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Finding the Third Proportional to 582,645 and 1,271,205

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Solution

The third proportional to 582,645 and 1,271,205 is: 2,773,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,645 : 1,271,205 = 1,271,205 : x
  2. Step 2: Convert to fraction form
    582,645/1,271,205 = 1,271,205/x
  3. Step 3: Cross multiply
    582,645x = 1,271,205 × 1,271,205
  4. Step 4: Simplify right side
    582,645x = 1,615,962,152,025
  5. Step 5: Solve for x
    x = 1,615,962,152,025/582,645
  6. Step 6: Final answer
    x = 2,773,493.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.