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Finding the Third Proportional to 1,534,972 and 3,256,964

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Solution

The third proportional to 1,534,972 and 3,256,964 is: 6,910,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,972 : 3,256,964 = 3,256,964 : x
  2. Step 2: Convert to fraction form
    1,534,972/3,256,964 = 3,256,964/x
  3. Step 3: Cross multiply
    1,534,972x = 3,256,964 × 3,256,964
  4. Step 4: Simplify right side
    1,534,972x = 10,607,814,497,296
  5. Step 5: Solve for x
    x = 10,607,814,497,296/1,534,972
  6. Step 6: Final answer
    x = 6,910,754.40

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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.