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Finding the Third Proportional to 674,976 and 1,010,592

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Solution

The third proportional to 674,976 and 1,010,592 is: 1,513,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,976 : 1,010,592 = 1,010,592 : x
  2. Step 2: Convert to fraction form
    674,976/1,010,592 = 1,010,592/x
  3. Step 3: Cross multiply
    674,976x = 1,010,592 × 1,010,592
  4. Step 4: Simplify right side
    674,976x = 1,021,296,190,464
  5. Step 5: Solve for x
    x = 1,021,296,190,464/674,976
  6. Step 6: Final answer
    x = 1,513,085.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.