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Finding the Third Proportional to 756,960 and 1,653,248

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Solution

The third proportional to 756,960 and 1,653,248 is: 3,610,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,960 : 1,653,248 = 1,653,248 : x
  2. Step 2: Convert to fraction form
    756,960/1,653,248 = 1,653,248/x
  3. Step 3: Cross multiply
    756,960x = 1,653,248 × 1,653,248
  4. Step 4: Simplify right side
    756,960x = 2,733,228,949,504
  5. Step 5: Solve for x
    x = 2,733,228,949,504/756,960
  6. Step 6: Final answer
    x = 3,610,797.07

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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.