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Finding the Third Proportional to 551,454 and 884,769

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Solution

The third proportional to 551,454 and 884,769 is: 1,419,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,454 : 884,769 = 884,769 : x
  2. Step 2: Convert to fraction form
    551,454/884,769 = 884,769/x
  3. Step 3: Cross multiply
    551,454x = 884,769 × 884,769
  4. Step 4: Simplify right side
    551,454x = 782,816,183,361
  5. Step 5: Solve for x
    x = 782,816,183,361/551,454
  6. Step 6: Final answer
    x = 1,419,549.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.