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Finding the Third Proportional to 462,685 and 1,071,019

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Solution

The third proportional to 462,685 and 1,071,019 is: 2,479,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,685 : 1,071,019 = 1,071,019 : x
  2. Step 2: Convert to fraction form
    462,685/1,071,019 = 1,071,019/x
  3. Step 3: Cross multiply
    462,685x = 1,071,019 × 1,071,019
  4. Step 4: Simplify right side
    462,685x = 1,147,081,698,361
  5. Step 5: Solve for x
    x = 1,147,081,698,361/462,685
  6. Step 6: Final answer
    x = 2,479,184.97

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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.