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Finding the Third Proportional to 524,186 and 1,146,513.50

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Solution

The third proportional to 524,186 and 1,146,513.50 is: 2,507,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,186 : 1,146,513.50 = 1,146,513.50 : x
  2. Step 2: Convert to fraction form
    524,186/1,146,513.50 = 1,146,513.50/x
  3. Step 3: Cross multiply
    524,186x = 1,146,513.50 × 1,146,513.50
  4. Step 4: Simplify right side
    524,186x = 1,314,493,205,682.25
  5. Step 5: Solve for x
    x = 1,314,493,205,682.25/524,186
  6. Step 6: Final answer
    x = 2,507,684.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.