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Finding the Third Proportional to 676,608 and 1,473,760

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Solution

The third proportional to 676,608 and 1,473,760 is: 3,210,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,608 : 1,473,760 = 1,473,760 : x
  2. Step 2: Convert to fraction form
    676,608/1,473,760 = 1,473,760/x
  3. Step 3: Cross multiply
    676,608x = 1,473,760 × 1,473,760
  4. Step 4: Simplify right side
    676,608x = 2,171,968,537,600
  5. Step 5: Solve for x
    x = 2,171,968,537,600/676,608
  6. Step 6: Final answer
    x = 3,210,084.03

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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.