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Finding the Third Proportional to 600,822 and 927,726

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Solution

The third proportional to 600,822 and 927,726 is: 1,432,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,822 : 927,726 = 927,726 : x
  2. Step 2: Convert to fraction form
    600,822/927,726 = 927,726/x
  3. Step 3: Cross multiply
    600,822x = 927,726 × 927,726
  4. Step 4: Simplify right side
    600,822x = 860,675,531,076
  5. Step 5: Solve for x
    x = 860,675,531,076/600,822
  6. Step 6: Final answer
    x = 1,432,496.70

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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.