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Finding the Third Proportional to 2,269,489.01 and 4,897,626.08

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Solution

The third proportional to 2,269,489.01 and 4,897,626.08 is: 10,569,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269,489.01 : 4,897,626.08 = 4,897,626.08 : x
  2. Step 2: Convert to fraction form
    2,269,489.01/4,897,626.08 = 4,897,626.08/x
  3. Step 3: Cross multiply
    2,269,489.01x = 4,897,626.08 × 4,897,626.08
  4. Step 4: Simplify right side
    2,269,489.01x = 23,986,741,239,392.28
  5. Step 5: Solve for x
    x = 23,986,741,239,392.28/2,269,489.01
  6. Step 6: Final answer
    x = 10,569,225.56

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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.