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Finding the Third Proportional to 654,385.50 and 1,384,220.25

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Solution

The third proportional to 654,385.50 and 1,384,220.25 is: 2,928,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,385.50 : 1,384,220.25 = 1,384,220.25 : x
  2. Step 2: Convert to fraction form
    654,385.50/1,384,220.25 = 1,384,220.25/x
  3. Step 3: Cross multiply
    654,385.50x = 1,384,220.25 × 1,384,220.25
  4. Step 4: Simplify right side
    654,385.50x = 1,916,065,700,510.06
  5. Step 5: Solve for x
    x = 1,916,065,700,510.06/654,385.50
  6. Step 6: Final answer
    x = 2,928,038.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.