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Finding the Third Proportional to 582,911 and 1,374,063

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Solution

The third proportional to 582,911 and 1,374,063 is: 3,239,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,911 : 1,374,063 = 1,374,063 : x
  2. Step 2: Convert to fraction form
    582,911/1,374,063 = 1,374,063/x
  3. Step 3: Cross multiply
    582,911x = 1,374,063 × 1,374,063
  4. Step 4: Simplify right side
    582,911x = 1,888,049,127,969
  5. Step 5: Solve for x
    x = 1,888,049,127,969/582,911
  6. Step 6: Final answer
    x = 3,239,000.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.