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Finding the Third Proportional to 424,948 and 919,592

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Solution

The third proportional to 424,948 and 919,592 is: 1,990,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,948 : 919,592 = 919,592 : x
  2. Step 2: Convert to fraction form
    424,948/919,592 = 919,592/x
  3. Step 3: Cross multiply
    424,948x = 919,592 × 919,592
  4. Step 4: Simplify right side
    424,948x = 845,649,446,464
  5. Step 5: Solve for x
    x = 845,649,446,464/424,948
  6. Step 6: Final answer
    x = 1,990,006.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.