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Finding the Third Proportional to 551,970 and 822,123

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Solution

The third proportional to 551,970 and 822,123 is: 1,224,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,970 : 822,123 = 822,123 : x
  2. Step 2: Convert to fraction form
    551,970/822,123 = 822,123/x
  3. Step 3: Cross multiply
    551,970x = 822,123 × 822,123
  4. Step 4: Simplify right side
    551,970x = 675,886,227,129
  5. Step 5: Solve for x
    x = 675,886,227,129/551,970
  6. Step 6: Final answer
    x = 1,224,498.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.