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Finding the Third Proportional to 2,225,102 and 4,785,526

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Solution

The third proportional to 2,225,102 and 4,785,526 is: 10,292,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,102 : 4,785,526 = 4,785,526 : x
  2. Step 2: Convert to fraction form
    2,225,102/4,785,526 = 4,785,526/x
  3. Step 3: Cross multiply
    2,225,102x = 4,785,526 × 4,785,526
  4. Step 4: Simplify right side
    2,225,102x = 22,901,259,096,676
  5. Step 5: Solve for x
    x = 22,901,259,096,676/2,225,102
  6. Step 6: Final answer
    x = 10,292,228.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.