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Finding the Third Proportional to 424,186.13 and 909,093

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Solution

The third proportional to 424,186.13 and 909,093 is: 1,948,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,186.13 : 909,093 = 909,093 : x
  2. Step 2: Convert to fraction form
    424,186.13/909,093 = 909,093/x
  3. Step 3: Cross multiply
    424,186.13x = 909,093 × 909,093
  4. Step 4: Simplify right side
    424,186.13x = 826,450,082,649
  5. Step 5: Solve for x
    x = 826,450,082,649/424,186.13
  6. Step 6: Final answer
    x = 1,948,319.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.