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Finding the Third Proportional to 2,408,580.58 and 5,620,210.91

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Solution

The third proportional to 2,408,580.58 and 5,620,210.91 is: 13,114,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,580.58 : 5,620,210.91 = 5,620,210.91 : x
  2. Step 2: Convert to fraction form
    2,408,580.58/5,620,210.91 = 5,620,210.91/x
  3. Step 3: Cross multiply
    2,408,580.58x = 5,620,210.91 × 5,620,210.91
  4. Step 4: Simplify right side
    2,408,580.58x = 31,586,770,625,242.75
  5. Step 5: Solve for x
    x = 31,586,770,625,242.75/2,408,580.58
  6. Step 6: Final answer
    x = 13,114,267.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.