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Finding the Third Proportional to 2,854,450.50 and 4,686,007.50

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Solution

The third proportional to 2,854,450.50 and 4,686,007.50 is: 7,692,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,450.50 : 4,686,007.50 = 4,686,007.50 : x
  2. Step 2: Convert to fraction form
    2,854,450.50/4,686,007.50 = 4,686,007.50/x
  3. Step 3: Cross multiply
    2,854,450.50x = 4,686,007.50 × 4,686,007.50
  4. Step 4: Simplify right side
    2,854,450.50x = 21,958,666,290,056.25
  5. Step 5: Solve for x
    x = 21,958,666,290,056.25/2,854,450.50
  6. Step 6: Final answer
    x = 7,692,782.30

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.