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Finding the Third Proportional to 702,384 and 1,517,088

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Solution

The third proportional to 702,384 and 1,517,088 is: 3,276,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,384 : 1,517,088 = 1,517,088 : x
  2. Step 2: Convert to fraction form
    702,384/1,517,088 = 1,517,088/x
  3. Step 3: Cross multiply
    702,384x = 1,517,088 × 1,517,088
  4. Step 4: Simplify right side
    702,384x = 2,301,555,999,744
  5. Step 5: Solve for x
    x = 2,301,555,999,744/702,384
  6. Step 6: Final answer
    x = 3,276,777.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.