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Finding the Third Proportional to 502,058 and 1,085,692

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Solution

The third proportional to 502,058 and 1,085,692 is: 2,347,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,058 : 1,085,692 = 1,085,692 : x
  2. Step 2: Convert to fraction form
    502,058/1,085,692 = 1,085,692/x
  3. Step 3: Cross multiply
    502,058x = 1,085,692 × 1,085,692
  4. Step 4: Simplify right side
    502,058x = 1,178,727,118,864
  5. Step 5: Solve for x
    x = 1,178,727,118,864/502,058
  6. Step 6: Final answer
    x = 2,347,790.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.