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Finding the Third Proportional to 916,238 and 1,972,957

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Solution

The third proportional to 916,238 and 1,972,957 is: 4,248,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,238 : 1,972,957 = 1,972,957 : x
  2. Step 2: Convert to fraction form
    916,238/1,972,957 = 1,972,957/x
  3. Step 3: Cross multiply
    916,238x = 1,972,957 × 1,972,957
  4. Step 4: Simplify right side
    916,238x = 3,892,559,323,849
  5. Step 5: Solve for x
    x = 3,892,559,323,849/916,238
  6. Step 6: Final answer
    x = 4,248,415.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.