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Finding the Third Proportional to 600,820 and 927,723

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Solution

The third proportional to 600,820 and 927,723 is: 1,432,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,820 : 927,723 = 927,723 : x
  2. Step 2: Convert to fraction form
    600,820/927,723 = 927,723/x
  3. Step 3: Cross multiply
    600,820x = 927,723 × 927,723
  4. Step 4: Simplify right side
    600,820x = 860,669,964,729
  5. Step 5: Solve for x
    x = 860,669,964,729/600,820
  6. Step 6: Final answer
    x = 1,432,492.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.