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Finding the Third Proportional to 3,134,714 and 4,689,921

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Solution

The third proportional to 3,134,714 and 4,689,921 is: 7,016,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,714 : 4,689,921 = 4,689,921 : x
  2. Step 2: Convert to fraction form
    3,134,714/4,689,921 = 4,689,921/x
  3. Step 3: Cross multiply
    3,134,714x = 4,689,921 × 4,689,921
  4. Step 4: Simplify right side
    3,134,714x = 21,995,358,986,241
  5. Step 5: Solve for x
    x = 21,995,358,986,241/3,134,714
  6. Step 6: Final answer
    x = 7,016,703.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.