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Finding the Third Proportional to 748,676 and 1,623,460

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Solution

The third proportional to 748,676 and 1,623,460 is: 3,520,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,676 : 1,623,460 = 1,623,460 : x
  2. Step 2: Convert to fraction form
    748,676/1,623,460 = 1,623,460/x
  3. Step 3: Cross multiply
    748,676x = 1,623,460 × 1,623,460
  4. Step 4: Simplify right side
    748,676x = 2,635,622,371,600
  5. Step 5: Solve for x
    x = 2,635,622,371,600/748,676
  6. Step 6: Final answer
    x = 3,520,377.80

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