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Finding the Third Proportional to 438,156 and 955,224

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Solution

The third proportional to 438,156 and 955,224 is: 2,082,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,156 : 955,224 = 955,224 : x
  2. Step 2: Convert to fraction form
    438,156/955,224 = 955,224/x
  3. Step 3: Cross multiply
    438,156x = 955,224 × 955,224
  4. Step 4: Simplify right side
    438,156x = 912,452,890,176
  5. Step 5: Solve for x
    x = 912,452,890,176/438,156
  6. Step 6: Final answer
    x = 2,082,484.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.