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Finding the Third Proportional to 1,670,157.56 and 3,724,133.63

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Solution

The third proportional to 1,670,157.56 and 3,724,133.63 is: 8,304,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,157.56 : 3,724,133.63 = 3,724,133.63 : x
  2. Step 2: Convert to fraction form
    1,670,157.56/3,724,133.63 = 3,724,133.63/x
  3. Step 3: Cross multiply
    1,670,157.56x = 3,724,133.63 × 3,724,133.63
  4. Step 4: Simplify right side
    1,670,157.56x = 13,869,171,256,855.64
  5. Step 5: Solve for x
    x = 13,869,171,256,855.64/1,670,157.56
  6. Step 6: Final answer
    x = 8,304,109.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.