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Finding the Third Proportional to 2,306,885.06 and 3,706,367.63

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Solution

The third proportional to 2,306,885.06 and 3,706,367.63 is: 5,954,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306,885.06 : 3,706,367.63 = 3,706,367.63 : x
  2. Step 2: Convert to fraction form
    2,306,885.06/3,706,367.63 = 3,706,367.63/x
  3. Step 3: Cross multiply
    2,306,885.06x = 3,706,367.63 × 3,706,367.63
  4. Step 4: Simplify right side
    2,306,885.06x = 13,737,160,971,648.14
  5. Step 5: Solve for x
    x = 13,737,160,971,648.14/2,306,885.06
  6. Step 6: Final answer
    x = 5,954,852.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.