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Finding the Third Proportional to 2,005,627.50 and 4,323,132

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Solution

The third proportional to 2,005,627.50 and 4,323,132 is: 9,318,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,627.50 : 4,323,132 = 4,323,132 : x
  2. Step 2: Convert to fraction form
    2,005,627.50/4,323,132 = 4,323,132/x
  3. Step 3: Cross multiply
    2,005,627.50x = 4,323,132 × 4,323,132
  4. Step 4: Simplify right side
    2,005,627.50x = 18,689,470,289,424
  5. Step 5: Solve for x
    x = 18,689,470,289,424/2,005,627.50
  6. Step 6: Final answer
    x = 9,318,515.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.