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Finding the Third Proportional to 423,617 and 931,201

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Solution

The third proportional to 423,617 and 931,201 is: 2,046,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,617 : 931,201 = 931,201 : x
  2. Step 2: Convert to fraction form
    423,617/931,201 = 931,201/x
  3. Step 3: Cross multiply
    423,617x = 931,201 × 931,201
  4. Step 4: Simplify right side
    423,617x = 867,135,302,401
  5. Step 5: Solve for x
    x = 867,135,302,401/423,617
  6. Step 6: Final answer
    x = 2,046,979.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.