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Finding the Third Proportional to 722,628 and 1,573,942.50

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Solution

The third proportional to 722,628 and 1,573,942.50 is: 3,428,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,628 : 1,573,942.50 = 1,573,942.50 : x
  2. Step 2: Convert to fraction form
    722,628/1,573,942.50 = 1,573,942.50/x
  3. Step 3: Cross multiply
    722,628x = 1,573,942.50 × 1,573,942.50
  4. Step 4: Simplify right side
    722,628x = 2,477,294,993,306.25
  5. Step 5: Solve for x
    x = 2,477,294,993,306.25/722,628
  6. Step 6: Final answer
    x = 3,428,174.65

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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.