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Finding the Third Proportional to 582,862 and 926,807

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Solution

The third proportional to 582,862 and 926,807 is: 1,473,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,862 : 926,807 = 926,807 : x
  2. Step 2: Convert to fraction form
    582,862/926,807 = 926,807/x
  3. Step 3: Cross multiply
    582,862x = 926,807 × 926,807
  4. Step 4: Simplify right side
    582,862x = 858,971,215,249
  5. Step 5: Solve for x
    x = 858,971,215,249/582,862
  6. Step 6: Final answer
    x = 1,473,712.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.