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Finding the Third Proportional to 633,103.50 and 1,386,277.50

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Solution

The third proportional to 633,103.50 and 1,386,277.50 is: 3,035,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,103.50 : 1,386,277.50 = 1,386,277.50 : x
  2. Step 2: Convert to fraction form
    633,103.50/1,386,277.50 = 1,386,277.50/x
  3. Step 3: Cross multiply
    633,103.50x = 1,386,277.50 × 1,386,277.50
  4. Step 4: Simplify right side
    633,103.50x = 1,921,765,307,006.25
  5. Step 5: Solve for x
    x = 1,921,765,307,006.25/633,103.50
  6. Step 6: Final answer
    x = 3,035,467.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.