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Finding the Third Proportional to 590,886 and 1,288,683

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Solution

The third proportional to 590,886 and 1,288,683 is: 2,810,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,886 : 1,288,683 = 1,288,683 : x
  2. Step 2: Convert to fraction form
    590,886/1,288,683 = 1,288,683/x
  3. Step 3: Cross multiply
    590,886x = 1,288,683 × 1,288,683
  4. Step 4: Simplify right side
    590,886x = 1,660,703,874,489
  5. Step 5: Solve for x
    x = 1,660,703,874,489/590,886
  6. Step 6: Final answer
    x = 2,810,531.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.