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Finding the Third Proportional to 2,574,868.50 and 3,895,438.50

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Solution

The third proportional to 2,574,868.50 and 3,895,438.50 is: 5,893,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,868.50 : 3,895,438.50 = 3,895,438.50 : x
  2. Step 2: Convert to fraction form
    2,574,868.50/3,895,438.50 = 3,895,438.50/x
  3. Step 3: Cross multiply
    2,574,868.50x = 3,895,438.50 × 3,895,438.50
  4. Step 4: Simplify right side
    2,574,868.50x = 15,174,441,107,282.25
  5. Step 5: Solve for x
    x = 15,174,441,107,282.25/2,574,868.50
  6. Step 6: Final answer
    x = 5,893,287.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.