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Finding the Third Proportional to 589,038 and 1,256,766

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Solution

The third proportional to 589,038 and 1,256,766 is: 2,681,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,038 : 1,256,766 = 1,256,766 : x
  2. Step 2: Convert to fraction form
    589,038/1,256,766 = 1,256,766/x
  3. Step 3: Cross multiply
    589,038x = 1,256,766 × 1,256,766
  4. Step 4: Simplify right side
    589,038x = 1,579,460,778,756
  5. Step 5: Solve for x
    x = 1,579,460,778,756/589,038
  6. Step 6: Final answer
    x = 2,681,424.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.