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Finding the Third Proportional to 629,248 and 1,369,072

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Solution

The third proportional to 629,248 and 1,369,072 is: 2,978,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,248 : 1,369,072 = 1,369,072 : x
  2. Step 2: Convert to fraction form
    629,248/1,369,072 = 1,369,072/x
  3. Step 3: Cross multiply
    629,248x = 1,369,072 × 1,369,072
  4. Step 4: Simplify right side
    629,248x = 1,874,358,141,184
  5. Step 5: Solve for x
    x = 1,874,358,141,184/629,248
  6. Step 6: Final answer
    x = 2,978,727.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.