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Finding the Third Proportional to 425,021 and 924,810

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Solution

The third proportional to 425,021 and 924,810 is: 2,012,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,021 : 924,810 = 924,810 : x
  2. Step 2: Convert to fraction form
    425,021/924,810 = 924,810/x
  3. Step 3: Cross multiply
    425,021x = 924,810 × 924,810
  4. Step 4: Simplify right side
    425,021x = 855,273,536,100
  5. Step 5: Solve for x
    x = 855,273,536,100/425,021
  6. Step 6: Final answer
    x = 2,012,308.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.