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Finding the Third Proportional to 465,138 and 1,004,628

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Solution

The third proportional to 465,138 and 1,004,628 is: 2,169,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,138 : 1,004,628 = 1,004,628 : x
  2. Step 2: Convert to fraction form
    465,138/1,004,628 = 1,004,628/x
  3. Step 3: Cross multiply
    465,138x = 1,004,628 × 1,004,628
  4. Step 4: Simplify right side
    465,138x = 1,009,277,418,384
  5. Step 5: Solve for x
    x = 1,009,277,418,384/465,138
  6. Step 6: Final answer
    x = 2,169,845.12

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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.