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Finding the Third Proportional to 1,526,188.50 and 3,314,817

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Solution

The third proportional to 1,526,188.50 and 3,314,817 is: 7,199,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,188.50 : 3,314,817 = 3,314,817 : x
  2. Step 2: Convert to fraction form
    1,526,188.50/3,314,817 = 3,314,817/x
  3. Step 3: Cross multiply
    1,526,188.50x = 3,314,817 × 3,314,817
  4. Step 4: Simplify right side
    1,526,188.50x = 10,988,011,743,489
  5. Step 5: Solve for x
    x = 10,988,011,743,489/1,526,188.50
  6. Step 6: Final answer
    x = 7,199,642.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.