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Finding the Third Proportional to 676,848 and 1,443,768

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Solution

The third proportional to 676,848 and 1,443,768 is: 3,079,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,848 : 1,443,768 = 1,443,768 : x
  2. Step 2: Convert to fraction form
    676,848/1,443,768 = 1,443,768/x
  3. Step 3: Cross multiply
    676,848x = 1,443,768 × 1,443,768
  4. Step 4: Simplify right side
    676,848x = 2,084,466,037,824
  5. Step 5: Solve for x
    x = 2,084,466,037,824/676,848
  6. Step 6: Final answer
    x = 3,079,666.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.