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Finding the Third Proportional to 4,218,085.97 and 6,299,523.14

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Solution

The third proportional to 4,218,085.97 and 6,299,523.14 is: 9,408,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218,085.97 : 6,299,523.14 = 6,299,523.14 : x
  2. Step 2: Convert to fraction form
    4,218,085.97/6,299,523.14 = 6,299,523.14/x
  3. Step 3: Cross multiply
    4,218,085.97x = 6,299,523.14 × 6,299,523.14
  4. Step 4: Simplify right side
    4,218,085.97x = 39,683,991,799,269.87
  5. Step 5: Solve for x
    x = 39,683,991,799,269.87/4,218,085.97
  6. Step 6: Final answer
    x = 9,408,056.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.