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Finding the Third Proportional to 610,120 and 927,619

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Solution

The third proportional to 610,120 and 927,619 is: 1,410,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,120 : 927,619 = 927,619 : x
  2. Step 2: Convert to fraction form
    610,120/927,619 = 927,619/x
  3. Step 3: Cross multiply
    610,120x = 927,619 × 927,619
  4. Step 4: Simplify right side
    610,120x = 860,477,009,161
  5. Step 5: Solve for x
    x = 860,477,009,161/610,120
  6. Step 6: Final answer
    x = 1,410,340.60

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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.