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Finding the Third Proportional to 747,245 and 1,189,595

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Solution

The third proportional to 747,245 and 1,189,595 is: 1,893,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,245 : 1,189,595 = 1,189,595 : x
  2. Step 2: Convert to fraction form
    747,245/1,189,595 = 1,189,595/x
  3. Step 3: Cross multiply
    747,245x = 1,189,595 × 1,189,595
  4. Step 4: Simplify right side
    747,245x = 1,415,136,264,025
  5. Step 5: Solve for x
    x = 1,415,136,264,025/747,245
  6. Step 6: Final answer
    x = 1,893,804.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.