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Finding the Third Proportional to 1,598,472 and 3,400,416

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Solution

The third proportional to 1,598,472 and 3,400,416 is: 7,233,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,472 : 3,400,416 = 3,400,416 : x
  2. Step 2: Convert to fraction form
    1,598,472/3,400,416 = 3,400,416/x
  3. Step 3: Cross multiply
    1,598,472x = 3,400,416 × 3,400,416
  4. Step 4: Simplify right side
    1,598,472x = 11,562,828,973,056
  5. Step 5: Solve for x
    x = 11,562,828,973,056/1,598,472
  6. Step 6: Final answer
    x = 7,233,676.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.