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Finding the Third Proportional to 451,058 and 972,632

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Solution

The third proportional to 451,058 and 972,632 is: 2,097,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,058 : 972,632 = 972,632 : x
  2. Step 2: Convert to fraction form
    451,058/972,632 = 972,632/x
  3. Step 3: Cross multiply
    451,058x = 972,632 × 972,632
  4. Step 4: Simplify right side
    451,058x = 946,013,007,424
  5. Step 5: Solve for x
    x = 946,013,007,424/451,058
  6. Step 6: Final answer
    x = 2,097,320.10

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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.