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Finding the Third Proportional to 789,582 and 1,179,109.50

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Solution

The third proportional to 789,582 and 1,179,109.50 is: 1,760,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,582 : 1,179,109.50 = 1,179,109.50 : x
  2. Step 2: Convert to fraction form
    789,582/1,179,109.50 = 1,179,109.50/x
  3. Step 3: Cross multiply
    789,582x = 1,179,109.50 × 1,179,109.50
  4. Step 4: Simplify right side
    789,582x = 1,390,299,212,990.25
  5. Step 5: Solve for x
    x = 1,390,299,212,990.25/789,582
  6. Step 6: Final answer
    x = 1,760,804.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.