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Finding the Third Proportional to 2,214,364.50 and 4,842,315

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Solution

The third proportional to 2,214,364.50 and 4,842,315 is: 10,589,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,364.50 : 4,842,315 = 4,842,315 : x
  2. Step 2: Convert to fraction form
    2,214,364.50/4,842,315 = 4,842,315/x
  3. Step 3: Cross multiply
    2,214,364.50x = 4,842,315 × 4,842,315
  4. Step 4: Simplify right side
    2,214,364.50x = 23,448,014,559,225
  5. Step 5: Solve for x
    x = 23,448,014,559,225/2,214,364.50
  6. Step 6: Final answer
    x = 10,589,049.16

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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.