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Finding the Third Proportional to 647,069 and 1,361,068

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Solution

The third proportional to 647,069 and 1,361,068 is: 2,862,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,069 : 1,361,068 = 1,361,068 : x
  2. Step 2: Convert to fraction form
    647,069/1,361,068 = 1,361,068/x
  3. Step 3: Cross multiply
    647,069x = 1,361,068 × 1,361,068
  4. Step 4: Simplify right side
    647,069x = 1,852,506,100,624
  5. Step 5: Solve for x
    x = 1,852,506,100,624/647,069
  6. Step 6: Final answer
    x = 2,862,918.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.