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Finding the Third Proportional to 437,102 and 953,638

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Solution

The third proportional to 437,102 and 953,638 is: 2,080,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,102 : 953,638 = 953,638 : x
  2. Step 2: Convert to fraction form
    437,102/953,638 = 953,638/x
  3. Step 3: Cross multiply
    437,102x = 953,638 × 953,638
  4. Step 4: Simplify right side
    437,102x = 909,425,435,044
  5. Step 5: Solve for x
    x = 909,425,435,044/437,102
  6. Step 6: Final answer
    x = 2,080,579.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.