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Finding the Third Proportional to 747,003 and 1,600,533

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Solution

The third proportional to 747,003 and 1,600,533 is: 3,429,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,003 : 1,600,533 = 1,600,533 : x
  2. Step 2: Convert to fraction form
    747,003/1,600,533 = 1,600,533/x
  3. Step 3: Cross multiply
    747,003x = 1,600,533 × 1,600,533
  4. Step 4: Simplify right side
    747,003x = 2,561,705,884,089
  5. Step 5: Solve for x
    x = 2,561,705,884,089/747,003
  6. Step 6: Final answer
    x = 3,429,311.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.