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Finding the Third Proportional to 426,970 and 924,067

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Solution

The third proportional to 426,970 and 924,067 is: 1,999,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,970 : 924,067 = 924,067 : x
  2. Step 2: Convert to fraction form
    426,970/924,067 = 924,067/x
  3. Step 3: Cross multiply
    426,970x = 924,067 × 924,067
  4. Step 4: Simplify right side
    426,970x = 853,899,820,489
  5. Step 5: Solve for x
    x = 853,899,820,489/426,970
  6. Step 6: Final answer
    x = 1,999,905.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.