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Finding the Third Proportional to 524,187 and 1,146,517.50

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Solution

The third proportional to 524,187 and 1,146,517.50 is: 2,507,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,187 : 1,146,517.50 = 1,146,517.50 : x
  2. Step 2: Convert to fraction form
    524,187/1,146,517.50 = 1,146,517.50/x
  3. Step 3: Cross multiply
    524,187x = 1,146,517.50 × 1,146,517.50
  4. Step 4: Simplify right side
    524,187x = 1,314,502,377,806.25
  5. Step 5: Solve for x
    x = 1,314,502,377,806.25/524,187
  6. Step 6: Final answer
    x = 2,507,697.40

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Why These Related Problems?

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