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Finding the Third Proportional to 476,954 and 1,010,770

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Solution

The third proportional to 476,954 and 1,010,770 is: 2,142,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,954 : 1,010,770 = 1,010,770 : x
  2. Step 2: Convert to fraction form
    476,954/1,010,770 = 1,010,770/x
  3. Step 3: Cross multiply
    476,954x = 1,010,770 × 1,010,770
  4. Step 4: Simplify right side
    476,954x = 1,021,655,992,900
  5. Step 5: Solve for x
    x = 1,021,655,992,900/476,954
  6. Step 6: Final answer
    x = 2,142,043.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.