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Finding the Third Proportional to 3,877,570 and 5,433,700

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Solution

The third proportional to 3,877,570 and 5,433,700 is: 7,614,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877,570 : 5,433,700 = 5,433,700 : x
  2. Step 2: Convert to fraction form
    3,877,570/5,433,700 = 5,433,700/x
  3. Step 3: Cross multiply
    3,877,570x = 5,433,700 × 5,433,700
  4. Step 4: Simplify right side
    3,877,570x = 29,525,095,690,000
  5. Step 5: Solve for x
    x = 29,525,095,690,000/3,877,570
  6. Step 6: Final answer
    x = 7,614,329.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.