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Finding the Third Proportional to 672,996 and 1,034,436

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Solution

The third proportional to 672,996 and 1,034,436 is: 1,589,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,996 : 1,034,436 = 1,034,436 : x
  2. Step 2: Convert to fraction form
    672,996/1,034,436 = 1,034,436/x
  3. Step 3: Cross multiply
    672,996x = 1,034,436 × 1,034,436
  4. Step 4: Simplify right side
    672,996x = 1,070,057,838,096
  5. Step 5: Solve for x
    x = 1,070,057,838,096/672,996
  6. Step 6: Final answer
    x = 1,589,991.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.