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Finding the Third Proportional to 2,564,040 and 3,713,772

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Solution

The third proportional to 2,564,040 and 3,713,772 is: 5,379,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,040 : 3,713,772 = 3,713,772 : x
  2. Step 2: Convert to fraction form
    2,564,040/3,713,772 = 3,713,772/x
  3. Step 3: Cross multiply
    2,564,040x = 3,713,772 × 3,713,772
  4. Step 4: Simplify right side
    2,564,040x = 13,792,102,467,984
  5. Step 5: Solve for x
    x = 13,792,102,467,984/2,564,040
  6. Step 6: Final answer
    x = 5,379,051.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.