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Finding the Third Proportional to 738,912 and 1,189,968

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Solution

The third proportional to 738,912 and 1,189,968 is: 1,916,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,912 : 1,189,968 = 1,189,968 : x
  2. Step 2: Convert to fraction form
    738,912/1,189,968 = 1,189,968/x
  3. Step 3: Cross multiply
    738,912x = 1,189,968 × 1,189,968
  4. Step 4: Simplify right side
    738,912x = 1,416,023,841,024
  5. Step 5: Solve for x
    x = 1,416,023,841,024/738,912
  6. Step 6: Final answer
    x = 1,916,363.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.