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Finding the Third Proportional to 1,532,429.19 and 3,251,654.67

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Solution

The third proportional to 1,532,429.19 and 3,251,654.67 is: 6,899,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,429.19 : 3,251,654.67 = 3,251,654.67 : x
  2. Step 2: Convert to fraction form
    1,532,429.19/3,251,654.67 = 3,251,654.67/x
  3. Step 3: Cross multiply
    1,532,429.19x = 3,251,654.67 × 3,251,654.67
  4. Step 4: Simplify right side
    1,532,429.19x = 10,573,258,067,021.02
  5. Step 5: Solve for x
    x = 10,573,258,067,021.02/1,532,429.19
  6. Step 6: Final answer
    x = 6,899,671.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.