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Finding the Third Proportional to 432,566 and 924,916

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Solution

The third proportional to 432,566 and 924,916 is: 1,977,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,566 : 924,916 = 924,916 : x
  2. Step 2: Convert to fraction form
    432,566/924,916 = 924,916/x
  3. Step 3: Cross multiply
    432,566x = 924,916 × 924,916
  4. Step 4: Simplify right side
    432,566x = 855,469,607,056
  5. Step 5: Solve for x
    x = 855,469,607,056/432,566
  6. Step 6: Final answer
    x = 1,977,662.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.