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Finding the Third Proportional to 432,564 and 924,912

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Solution

The third proportional to 432,564 and 924,912 is: 1,977,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,564 : 924,912 = 924,912 : x
  2. Step 2: Convert to fraction form
    432,564/924,912 = 924,912/x
  3. Step 3: Cross multiply
    432,564x = 924,912 × 924,912
  4. Step 4: Simplify right side
    432,564x = 855,462,207,744
  5. Step 5: Solve for x
    x = 855,462,207,744/432,564
  6. Step 6: Final answer
    x = 1,977,654.65

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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.