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Finding the Third Proportional to 917,514 and 2,072,972

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Solution

The third proportional to 917,514 and 2,072,972 is: 4,683,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,514 : 2,072,972 = 2,072,972 : x
  2. Step 2: Convert to fraction form
    917,514/2,072,972 = 2,072,972/x
  3. Step 3: Cross multiply
    917,514x = 2,072,972 × 2,072,972
  4. Step 4: Simplify right side
    917,514x = 4,297,212,912,784
  5. Step 5: Solve for x
    x = 4,297,212,912,784/917,514
  6. Step 6: Final answer
    x = 4,683,539.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.