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Finding the Third Proportional to 827,532 and 1,773,156

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Solution

The third proportional to 827,532 and 1,773,156 is: 3,799,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,532 : 1,773,156 = 1,773,156 : x
  2. Step 2: Convert to fraction form
    827,532/1,773,156 = 1,773,156/x
  3. Step 3: Cross multiply
    827,532x = 1,773,156 × 1,773,156
  4. Step 4: Simplify right side
    827,532x = 3,144,082,200,336
  5. Step 5: Solve for x
    x = 3,144,082,200,336/827,532
  6. Step 6: Final answer
    x = 3,799,348.18

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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.