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Finding the Third Proportional to 423,892 and 931,444

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Solution

The third proportional to 423,892 and 931,444 is: 2,046,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,892 : 931,444 = 931,444 : x
  2. Step 2: Convert to fraction form
    423,892/931,444 = 931,444/x
  3. Step 3: Cross multiply
    423,892x = 931,444 × 931,444
  4. Step 4: Simplify right side
    423,892x = 867,587,925,136
  5. Step 5: Solve for x
    x = 867,587,925,136/423,892
  6. Step 6: Final answer
    x = 2,046,719.27

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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.