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Finding the Third Proportional to 938,225 and 2,048,521

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Solution

The third proportional to 938,225 and 2,048,521 is: 4,472,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,225 : 2,048,521 = 2,048,521 : x
  2. Step 2: Convert to fraction form
    938,225/2,048,521 = 2,048,521/x
  3. Step 3: Cross multiply
    938,225x = 2,048,521 × 2,048,521
  4. Step 4: Simplify right side
    938,225x = 4,196,438,287,441
  5. Step 5: Solve for x
    x = 4,196,438,287,441/938,225
  6. Step 6: Final answer
    x = 4,472,741.92

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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.