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Finding the Third Proportional to 466,071 and 1,021,069

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Solution

The third proportional to 466,071 and 1,021,069 is: 2,236,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,071 : 1,021,069 = 1,021,069 : x
  2. Step 2: Convert to fraction form
    466,071/1,021,069 = 1,021,069/x
  3. Step 3: Cross multiply
    466,071x = 1,021,069 × 1,021,069
  4. Step 4: Simplify right side
    466,071x = 1,042,581,902,761
  5. Step 5: Solve for x
    x = 1,042,581,902,761/466,071
  6. Step 6: Final answer
    x = 2,236,959.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.