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Finding the Third Proportional to 1,601,109 and 2,434,657.50

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Solution

The third proportional to 1,601,109 and 2,434,657.50 is: 3,702,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,109 : 2,434,657.50 = 2,434,657.50 : x
  2. Step 2: Convert to fraction form
    1,601,109/2,434,657.50 = 2,434,657.50/x
  3. Step 3: Cross multiply
    1,601,109x = 2,434,657.50 × 2,434,657.50
  4. Step 4: Simplify right side
    1,601,109x = 5,927,557,142,306.25
  5. Step 5: Solve for x
    x = 5,927,557,142,306.25/1,601,109
  6. Step 6: Final answer
    x = 3,702,157.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.