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Finding the Third Proportional to 1,683,952.03 and 2,591,314.03

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Solution

The third proportional to 1,683,952.03 and 2,591,314.03 is: 3,987,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,952.03 : 2,591,314.03 = 2,591,314.03 : x
  2. Step 2: Convert to fraction form
    1,683,952.03/2,591,314.03 = 2,591,314.03/x
  3. Step 3: Cross multiply
    1,683,952.03x = 2,591,314.03 × 2,591,314.03
  4. Step 4: Simplify right side
    1,683,952.03x = 6,714,908,408,553.13
  5. Step 5: Solve for x
    x = 6,714,908,408,553.13/1,683,952.03
  6. Step 6: Final answer
    x = 3,987,588.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.