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Finding the Third Proportional to 910,017 and 1,959,567

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Solution

The third proportional to 910,017 and 1,959,567 is: 4,219,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,017 : 1,959,567 = 1,959,567 : x
  2. Step 2: Convert to fraction form
    910,017/1,959,567 = 1,959,567/x
  3. Step 3: Cross multiply
    910,017x = 1,959,567 × 1,959,567
  4. Step 4: Simplify right side
    910,017x = 3,839,902,827,489
  5. Step 5: Solve for x
    x = 3,839,902,827,489/910,017
  6. Step 6: Final answer
    x = 4,219,594.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.