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Finding the Third Proportional to 747,236 and 1,189,580

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Solution

The third proportional to 747,236 and 1,189,580 is: 1,893,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,236 : 1,189,580 = 1,189,580 : x
  2. Step 2: Convert to fraction form
    747,236/1,189,580 = 1,189,580/x
  3. Step 3: Cross multiply
    747,236x = 1,189,580 × 1,189,580
  4. Step 4: Simplify right side
    747,236x = 1,415,100,576,400
  5. Step 5: Solve for x
    x = 1,415,100,576,400/747,236
  6. Step 6: Final answer
    x = 1,893,779.98

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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.