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Finding the Third Proportional to 748,014 and 1,622,842

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Solution

The third proportional to 748,014 and 1,622,842 is: 3,520,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,014 : 1,622,842 = 1,622,842 : x
  2. Step 2: Convert to fraction form
    748,014/1,622,842 = 1,622,842/x
  3. Step 3: Cross multiply
    748,014x = 1,622,842 × 1,622,842
  4. Step 4: Simplify right side
    748,014x = 2,633,616,156,964
  5. Step 5: Solve for x
    x = 2,633,616,156,964/748,014
  6. Step 6: Final answer
    x = 3,520,811.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.