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Finding the Third Proportional to 1,201,644 and 2,573,872

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Solution

The third proportional to 1,201,644 and 2,573,872 is: 5,513,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,644 : 2,573,872 = 2,573,872 : x
  2. Step 2: Convert to fraction form
    1,201,644/2,573,872 = 2,573,872/x
  3. Step 3: Cross multiply
    1,201,644x = 2,573,872 × 2,573,872
  4. Step 4: Simplify right side
    1,201,644x = 6,624,817,072,384
  5. Step 5: Solve for x
    x = 6,624,817,072,384/1,201,644
  6. Step 6: Final answer
    x = 5,513,127.91

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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.