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Finding the Third Proportional to 683,351 and 1,045,721.50

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Solution

The third proportional to 683,351 and 1,045,721.50 is: 1,600,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,351 : 1,045,721.50 = 1,045,721.50 : x
  2. Step 2: Convert to fraction form
    683,351/1,045,721.50 = 1,045,721.50/x
  3. Step 3: Cross multiply
    683,351x = 1,045,721.50 × 1,045,721.50
  4. Step 4: Simplify right side
    683,351x = 1,093,533,455,562.25
  5. Step 5: Solve for x
    x = 1,093,533,455,562.25/683,351
  6. Step 6: Final answer
    x = 1,600,251.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.