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Finding the Third Proportional to 643,464 and 1,412,964

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Solution

The third proportional to 643,464 and 1,412,964 is: 3,102,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,464 : 1,412,964 = 1,412,964 : x
  2. Step 2: Convert to fraction form
    643,464/1,412,964 = 1,412,964/x
  3. Step 3: Cross multiply
    643,464x = 1,412,964 × 1,412,964
  4. Step 4: Simplify right side
    643,464x = 1,996,467,265,296
  5. Step 5: Solve for x
    x = 1,996,467,265,296/643,464
  6. Step 6: Final answer
    x = 3,102,686.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.