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Finding the Third Proportional to 829,677 and 1,809,522

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Solution

The third proportional to 829,677 and 1,809,522 is: 3,946,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,677 : 1,809,522 = 1,809,522 : x
  2. Step 2: Convert to fraction form
    829,677/1,809,522 = 1,809,522/x
  3. Step 3: Cross multiply
    829,677x = 1,809,522 × 1,809,522
  4. Step 4: Simplify right side
    829,677x = 3,274,369,868,484
  5. Step 5: Solve for x
    x = 3,274,369,868,484/829,677
  6. Step 6: Final answer
    x = 3,946,559.77

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