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Finding the Third Proportional to 605,371 and 1,273,482

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Solution

The third proportional to 605,371 and 1,273,482 is: 2,678,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,371 : 1,273,482 = 1,273,482 : x
  2. Step 2: Convert to fraction form
    605,371/1,273,482 = 1,273,482/x
  3. Step 3: Cross multiply
    605,371x = 1,273,482 × 1,273,482
  4. Step 4: Simplify right side
    605,371x = 1,621,756,404,324
  5. Step 5: Solve for x
    x = 1,621,756,404,324/605,371
  6. Step 6: Final answer
    x = 2,678,946.31

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Why These Related Problems?

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