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Finding the Third Proportional to 647,410 and 1,388,132

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Solution

The third proportional to 647,410 and 1,388,132 is: 2,976,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,410 : 1,388,132 = 1,388,132 : x
  2. Step 2: Convert to fraction form
    647,410/1,388,132 = 1,388,132/x
  3. Step 3: Cross multiply
    647,410x = 1,388,132 × 1,388,132
  4. Step 4: Simplify right side
    647,410x = 1,926,910,449,424
  5. Step 5: Solve for x
    x = 1,926,910,449,424/647,410
  6. Step 6: Final answer
    x = 2,976,337.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.