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Finding the Third Proportional to 641,846 and 1,017,201

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Solution

The third proportional to 641,846 and 1,017,201 is: 1,612,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,846 : 1,017,201 = 1,017,201 : x
  2. Step 2: Convert to fraction form
    641,846/1,017,201 = 1,017,201/x
  3. Step 3: Cross multiply
    641,846x = 1,017,201 × 1,017,201
  4. Step 4: Simplify right side
    641,846x = 1,034,697,874,401
  5. Step 5: Solve for x
    x = 1,034,697,874,401/641,846
  6. Step 6: Final answer
    x = 1,612,065.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.