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Finding the Third Proportional to 497,020 and 1,072,736

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Solution

The third proportional to 497,020 and 1,072,736 is: 2,315,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,020 : 1,072,736 = 1,072,736 : x
  2. Step 2: Convert to fraction form
    497,020/1,072,736 = 1,072,736/x
  3. Step 3: Cross multiply
    497,020x = 1,072,736 × 1,072,736
  4. Step 4: Simplify right side
    497,020x = 1,150,762,525,696
  5. Step 5: Solve for x
    x = 1,150,762,525,696/497,020
  6. Step 6: Final answer
    x = 2,315,324.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.