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Finding the Third Proportional to 645,082.50 and 1,024,827

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Solution

The third proportional to 645,082.50 and 1,024,827 is: 1,628,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,082.50 : 1,024,827 = 1,024,827 : x
  2. Step 2: Convert to fraction form
    645,082.50/1,024,827 = 1,024,827/x
  3. Step 3: Cross multiply
    645,082.50x = 1,024,827 × 1,024,827
  4. Step 4: Simplify right side
    645,082.50x = 1,050,270,379,929
  5. Step 5: Solve for x
    x = 1,050,270,379,929/645,082.50
  6. Step 6: Final answer
    x = 1,628,117.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.