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Finding the Third Proportional to 683,937 and 1,026,270

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Solution

The third proportional to 683,937 and 1,026,270 is: 1,539,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,937 : 1,026,270 = 1,026,270 : x
  2. Step 2: Convert to fraction form
    683,937/1,026,270 = 1,026,270/x
  3. Step 3: Cross multiply
    683,937x = 1,026,270 × 1,026,270
  4. Step 4: Simplify right side
    683,937x = 1,053,230,112,900
  5. Step 5: Solve for x
    x = 1,053,230,112,900/683,937
  6. Step 6: Final answer
    x = 1,539,951.94

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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.