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Finding the Third Proportional to 447,604 and 915,890

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Solution

The third proportional to 447,604 and 915,890 is: 1,874,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,604 : 915,890 = 915,890 : x
  2. Step 2: Convert to fraction form
    447,604/915,890 = 915,890/x
  3. Step 3: Cross multiply
    447,604x = 915,890 × 915,890
  4. Step 4: Simplify right side
    447,604x = 838,854,492,100
  5. Step 5: Solve for x
    x = 838,854,492,100/447,604
  6. Step 6: Final answer
    x = 1,874,099.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.