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Finding the Third Proportional to 687,082.50 and 1,496,135.81

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Solution

The third proportional to 687,082.50 and 1,496,135.81 is: 3,257,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,082.50 : 1,496,135.81 = 1,496,135.81 : x
  2. Step 2: Convert to fraction form
    687,082.50/1,496,135.81 = 1,496,135.81/x
  3. Step 3: Cross multiply
    687,082.50x = 1,496,135.81 × 1,496,135.81
  4. Step 4: Simplify right side
    687,082.50x = 2,238,422,369,445.04
  5. Step 5: Solve for x
    x = 2,238,422,369,445.04/687,082.50
  6. Step 6: Final answer
    x = 3,257,865.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.