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Finding the Third Proportional to 413,821 and 924,522

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Solution

The third proportional to 413,821 and 924,522 is: 2,065,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,821 : 924,522 = 924,522 : x
  2. Step 2: Convert to fraction form
    413,821/924,522 = 924,522/x
  3. Step 3: Cross multiply
    413,821x = 924,522 × 924,522
  4. Step 4: Simplify right side
    413,821x = 854,740,928,484
  5. Step 5: Solve for x
    x = 854,740,928,484/413,821
  6. Step 6: Final answer
    x = 2,065,484.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.