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Finding the Third Proportional to 669,629 and 1,010,481

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Solution

The third proportional to 669,629 and 1,010,481 is: 1,524,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,629 : 1,010,481 = 1,010,481 : x
  2. Step 2: Convert to fraction form
    669,629/1,010,481 = 1,010,481/x
  3. Step 3: Cross multiply
    669,629x = 1,010,481 × 1,010,481
  4. Step 4: Simplify right side
    669,629x = 1,021,071,851,361
  5. Step 5: Solve for x
    x = 1,021,071,851,361/669,629
  6. Step 6: Final answer
    x = 1,524,832.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.