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Finding the Third Proportional to 1,148,431.29 and 1,762,797.94

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Solution

The third proportional to 1,148,431.29 and 1,762,797.94 is: 2,705,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,431.29 : 1,762,797.94 = 1,762,797.94 : x
  2. Step 2: Convert to fraction form
    1,148,431.29/1,762,797.94 = 1,762,797.94/x
  3. Step 3: Cross multiply
    1,148,431.29x = 1,762,797.94 × 1,762,797.94
  4. Step 4: Simplify right side
    1,148,431.29x = 3,107,456,568,454.25
  5. Step 5: Solve for x
    x = 3,107,456,568,454.25/1,148,431.29
  6. Step 6: Final answer
    x = 2,705,827.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.