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Finding the Third Proportional to 619,852 and 1,357,638

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Solution

The third proportional to 619,852 and 1,357,638 is: 2,973,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,852 : 1,357,638 = 1,357,638 : x
  2. Step 2: Convert to fraction form
    619,852/1,357,638 = 1,357,638/x
  3. Step 3: Cross multiply
    619,852x = 1,357,638 × 1,357,638
  4. Step 4: Simplify right side
    619,852x = 1,843,180,939,044
  5. Step 5: Solve for x
    x = 1,843,180,939,044/619,852
  6. Step 6: Final answer
    x = 2,973,582.31

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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.