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Finding the Third Proportional to 827,570 and 1,773,256

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Solution

The third proportional to 827,570 and 1,773,256 is: 3,799,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,570 : 1,773,256 = 1,773,256 : x
  2. Step 2: Convert to fraction form
    827,570/1,773,256 = 1,773,256/x
  3. Step 3: Cross multiply
    827,570x = 1,773,256 × 1,773,256
  4. Step 4: Simplify right side
    827,570x = 3,144,436,841,536
  5. Step 5: Solve for x
    x = 3,144,436,841,536/827,570
  6. Step 6: Final answer
    x = 3,799,602.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.