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Finding the Third Proportional to 413,827 and 924,532

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Solution

The third proportional to 413,827 and 924,532 is: 2,065,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,827 : 924,532 = 924,532 : x
  2. Step 2: Convert to fraction form
    413,827/924,532 = 924,532/x
  3. Step 3: Cross multiply
    413,827x = 924,532 × 924,532
  4. Step 4: Simplify right side
    413,827x = 854,759,419,024
  5. Step 5: Solve for x
    x = 854,759,419,024/413,827
  6. Step 6: Final answer
    x = 2,065,499.40

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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.