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Finding the Third Proportional to 789,705 and 1,154,940.75

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Solution

The third proportional to 789,705 and 1,154,940.75 is: 1,689,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,705 : 1,154,940.75 = 1,154,940.75 : x
  2. Step 2: Convert to fraction form
    789,705/1,154,940.75 = 1,154,940.75/x
  3. Step 3: Cross multiply
    789,705x = 1,154,940.75 × 1,154,940.75
  4. Step 4: Simplify right side
    789,705x = 1,333,888,136,010.56
  5. Step 5: Solve for x
    x = 1,333,888,136,010.56/789,705
  6. Step 6: Final answer
    x = 1,689,096.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.