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Finding the Third Proportional to 444,653 and 973,634

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Solution

The third proportional to 444,653 and 973,634 is: 2,131,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,653 : 973,634 = 973,634 : x
  2. Step 2: Convert to fraction form
    444,653/973,634 = 973,634/x
  3. Step 3: Cross multiply
    444,653x = 973,634 × 973,634
  4. Step 4: Simplify right side
    444,653x = 947,963,165,956
  5. Step 5: Solve for x
    x = 947,963,165,956/444,653
  6. Step 6: Final answer
    x = 2,131,916.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.