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Finding the Third Proportional to 1,591,772.13 and 3,435,623.86

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Solution

The third proportional to 1,591,772.13 and 3,435,623.86 is: 7,415,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,772.13 : 3,435,623.86 = 3,435,623.86 : x
  2. Step 2: Convert to fraction form
    1,591,772.13/3,435,623.86 = 3,435,623.86/x
  3. Step 3: Cross multiply
    1,591,772.13x = 3,435,623.86 × 3,435,623.86
  4. Step 4: Simplify right side
    1,591,772.13x = 11,803,511,303,106.77
  5. Step 5: Solve for x
    x = 11,803,511,303,106.77/1,591,772.13
  6. Step 6: Final answer
    x = 7,415,327.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.