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Finding the Third Proportional to 724,761 and 1,637,437.50

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Solution

The third proportional to 724,761 and 1,637,437.50 is: 3,699,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,761 : 1,637,437.50 = 1,637,437.50 : x
  2. Step 2: Convert to fraction form
    724,761/1,637,437.50 = 1,637,437.50/x
  3. Step 3: Cross multiply
    724,761x = 1,637,437.50 × 1,637,437.50
  4. Step 4: Simplify right side
    724,761x = 2,681,201,566,406.25
  5. Step 5: Solve for x
    x = 2,681,201,566,406.25/724,761
  6. Step 6: Final answer
    x = 3,699,428.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.