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Finding the Third Proportional to 600,824 and 927,729

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Solution

The third proportional to 600,824 and 927,729 is: 1,432,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,824 : 927,729 = 927,729 : x
  2. Step 2: Convert to fraction form
    600,824/927,729 = 927,729/x
  3. Step 3: Cross multiply
    600,824x = 927,729 × 927,729
  4. Step 4: Simplify right side
    600,824x = 860,681,097,441
  5. Step 5: Solve for x
    x = 860,681,097,441/600,824
  6. Step 6: Final answer
    x = 1,432,501.19

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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.