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Finding the Third Proportional to 443,178 and 974,916

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Solution

The third proportional to 443,178 and 974,916 is: 2,144,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,178 : 974,916 = 974,916 : x
  2. Step 2: Convert to fraction form
    443,178/974,916 = 974,916/x
  3. Step 3: Cross multiply
    443,178x = 974,916 × 974,916
  4. Step 4: Simplify right side
    443,178x = 950,461,207,056
  5. Step 5: Solve for x
    x = 950,461,207,056/443,178
  6. Step 6: Final answer
    x = 2,144,648.89

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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.