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Finding the Third Proportional to 462,698 and 1,071,042

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Solution

The third proportional to 462,698 and 1,071,042 is: 2,479,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,698 : 1,071,042 = 1,071,042 : x
  2. Step 2: Convert to fraction form
    462,698/1,071,042 = 1,071,042/x
  3. Step 3: Cross multiply
    462,698x = 1,071,042 × 1,071,042
  4. Step 4: Simplify right side
    462,698x = 1,147,130,965,764
  5. Step 5: Solve for x
    x = 1,147,130,965,764/462,698
  6. Step 6: Final answer
    x = 2,479,221.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.