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Finding the Third Proportional to 747,242 and 1,189,590

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Solution

The third proportional to 747,242 and 1,189,590 is: 1,893,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,242 : 1,189,590 = 1,189,590 : x
  2. Step 2: Convert to fraction form
    747,242/1,189,590 = 1,189,590/x
  3. Step 3: Cross multiply
    747,242x = 1,189,590 × 1,189,590
  4. Step 4: Simplify right side
    747,242x = 1,415,124,368,100
  5. Step 5: Solve for x
    x = 1,415,124,368,100/747,242
  6. Step 6: Final answer
    x = 1,893,796.61

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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.