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Finding the Third Proportional to 1,808,780.63 and 3,766,408.88

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Solution

The third proportional to 1,808,780.63 and 3,766,408.88 is: 7,842,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808,780.63 : 3,766,408.88 = 3,766,408.88 : x
  2. Step 2: Convert to fraction form
    1,808,780.63/3,766,408.88 = 3,766,408.88/x
  3. Step 3: Cross multiply
    1,808,780.63x = 3,766,408.88 × 3,766,408.88
  4. Step 4: Simplify right side
    1,808,780.63x = 14,185,835,813,678.77
  5. Step 5: Solve for x
    x = 14,185,835,813,678.77/1,808,780.63
  6. Step 6: Final answer
    x = 7,842,761.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.