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Finding the Third Proportional to 450,890 and 972,738

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Solution

The third proportional to 450,890 and 972,738 is: 2,098,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,890 : 972,738 = 972,738 : x
  2. Step 2: Convert to fraction form
    450,890/972,738 = 972,738/x
  3. Step 3: Cross multiply
    450,890x = 972,738 × 972,738
  4. Step 4: Simplify right side
    450,890x = 946,219,216,644
  5. Step 5: Solve for x
    x = 946,219,216,644/450,890
  6. Step 6: Final answer
    x = 2,098,558.89

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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.