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Finding the Third Proportional to 629,002 and 1,358,114

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Solution

The third proportional to 629,002 and 1,358,114 is: 2,932,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,002 : 1,358,114 = 1,358,114 : x
  2. Step 2: Convert to fraction form
    629,002/1,358,114 = 1,358,114/x
  3. Step 3: Cross multiply
    629,002x = 1,358,114 × 1,358,114
  4. Step 4: Simplify right side
    629,002x = 1,844,473,636,996
  5. Step 5: Solve for x
    x = 1,844,473,636,996/629,002
  6. Step 6: Final answer
    x = 2,932,381.20

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