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Finding the Third Proportional to 947,904 and 1,540,017

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Solution

The third proportional to 947,904 and 1,540,017 is: 2,501,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,904 : 1,540,017 = 1,540,017 : x
  2. Step 2: Convert to fraction form
    947,904/1,540,017 = 1,540,017/x
  3. Step 3: Cross multiply
    947,904x = 1,540,017 × 1,540,017
  4. Step 4: Simplify right side
    947,904x = 2,371,652,360,289
  5. Step 5: Solve for x
    x = 2,371,652,360,289/947,904
  6. Step 6: Final answer
    x = 2,501,996.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.