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Finding the Third Proportional to 501,735 and 1,081,230

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Solution

The third proportional to 501,735 and 1,081,230 is: 2,330,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,735 : 1,081,230 = 1,081,230 : x
  2. Step 2: Convert to fraction form
    501,735/1,081,230 = 1,081,230/x
  3. Step 3: Cross multiply
    501,735x = 1,081,230 × 1,081,230
  4. Step 4: Simplify right side
    501,735x = 1,169,058,312,900
  5. Step 5: Solve for x
    x = 1,169,058,312,900/501,735
  6. Step 6: Final answer
    x = 2,330,031.42

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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.