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Finding the Third Proportional to 2,196,813 and 4,500,652.50

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Solution

The third proportional to 2,196,813 and 4,500,652.50 is: 9,220,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,813 : 4,500,652.50 = 4,500,652.50 : x
  2. Step 2: Convert to fraction form
    2,196,813/4,500,652.50 = 4,500,652.50/x
  3. Step 3: Cross multiply
    2,196,813x = 4,500,652.50 × 4,500,652.50
  4. Step 4: Simplify right side
    2,196,813x = 20,255,872,925,756.25
  5. Step 5: Solve for x
    x = 20,255,872,925,756.25/2,196,813
  6. Step 6: Final answer
    x = 9,220,572.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.