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Finding the Third Proportional to 2,532,190.50 and 5,856,988.50

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Solution

The third proportional to 2,532,190.50 and 5,856,988.50 is: 13,547,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,190.50 : 5,856,988.50 = 5,856,988.50 : x
  2. Step 2: Convert to fraction form
    2,532,190.50/5,856,988.50 = 5,856,988.50/x
  3. Step 3: Cross multiply
    2,532,190.50x = 5,856,988.50 × 5,856,988.50
  4. Step 4: Simplify right side
    2,532,190.50x = 34,304,314,289,132.25
  5. Step 5: Solve for x
    x = 34,304,314,289,132.25/2,532,190.50
  6. Step 6: Final answer
    x = 13,547,288.12

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.