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Finding the Third Proportional to 683,215 and 1,085,648

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Solution

The third proportional to 683,215 and 1,085,648 is: 1,725,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,215 : 1,085,648 = 1,085,648 : x
  2. Step 2: Convert to fraction form
    683,215/1,085,648 = 1,085,648/x
  3. Step 3: Cross multiply
    683,215x = 1,085,648 × 1,085,648
  4. Step 4: Simplify right side
    683,215x = 1,178,631,579,904
  5. Step 5: Solve for x
    x = 1,178,631,579,904/683,215
  6. Step 6: Final answer
    x = 1,725,125.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.