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Finding the Third Proportional to 610,113 and 927,609

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Solution

The third proportional to 610,113 and 927,609 is: 1,410,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,113 : 927,609 = 927,609 : x
  2. Step 2: Convert to fraction form
    610,113/927,609 = 927,609/x
  3. Step 3: Cross multiply
    610,113x = 927,609 × 927,609
  4. Step 4: Simplify right side
    610,113x = 860,458,456,881
  5. Step 5: Solve for x
    x = 860,458,456,881/610,113
  6. Step 6: Final answer
    x = 1,410,326.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.