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Finding the Third Proportional to 812,824 and 1,207,488

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Solution

The third proportional to 812,824 and 1,207,488 is: 1,793,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,824 : 1,207,488 = 1,207,488 : x
  2. Step 2: Convert to fraction form
    812,824/1,207,488 = 1,207,488/x
  3. Step 3: Cross multiply
    812,824x = 1,207,488 × 1,207,488
  4. Step 4: Simplify right side
    812,824x = 1,458,027,270,144
  5. Step 5: Solve for x
    x = 1,458,027,270,144/812,824
  6. Step 6: Final answer
    x = 1,793,779.80

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