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Finding the Third Proportional to 683,988 and 1,484,797.50

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Solution

The third proportional to 683,988 and 1,484,797.50 is: 3,223,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,988 : 1,484,797.50 = 1,484,797.50 : x
  2. Step 2: Convert to fraction form
    683,988/1,484,797.50 = 1,484,797.50/x
  3. Step 3: Cross multiply
    683,988x = 1,484,797.50 × 1,484,797.50
  4. Step 4: Simplify right side
    683,988x = 2,204,623,616,006.25
  5. Step 5: Solve for x
    x = 2,204,623,616,006.25/683,988
  6. Step 6: Final answer
    x = 3,223,190.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.