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Finding the Third Proportional to 649,088 and 1,398,040

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Solution

The third proportional to 649,088 and 1,398,040 is: 3,011,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,088 : 1,398,040 = 1,398,040 : x
  2. Step 2: Convert to fraction form
    649,088/1,398,040 = 1,398,040/x
  3. Step 3: Cross multiply
    649,088x = 1,398,040 × 1,398,040
  4. Step 4: Simplify right side
    649,088x = 1,954,515,841,600
  5. Step 5: Solve for x
    x = 1,954,515,841,600/649,088
  6. Step 6: Final answer
    x = 3,011,172.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.