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Finding the Third Proportional to 464,041 and 1,013,306

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Solution

The third proportional to 464,041 and 1,013,306 is: 2,212,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,041 : 1,013,306 = 1,013,306 : x
  2. Step 2: Convert to fraction form
    464,041/1,013,306 = 1,013,306/x
  3. Step 3: Cross multiply
    464,041x = 1,013,306 × 1,013,306
  4. Step 4: Simplify right side
    464,041x = 1,026,789,049,636
  5. Step 5: Solve for x
    x = 1,026,789,049,636/464,041
  6. Step 6: Final answer
    x = 2,212,711.91

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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.