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Finding the Third Proportional to 676,592 and 1,473,728

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Solution

The third proportional to 676,592 and 1,473,728 is: 3,210,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,592 : 1,473,728 = 1,473,728 : x
  2. Step 2: Convert to fraction form
    676,592/1,473,728 = 1,473,728/x
  3. Step 3: Cross multiply
    676,592x = 1,473,728 × 1,473,728
  4. Step 4: Simplify right side
    676,592x = 2,171,874,217,984
  5. Step 5: Solve for x
    x = 2,171,874,217,984/676,592
  6. Step 6: Final answer
    x = 3,210,020.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.