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Finding the Third Proportional to 3,266,226 and 4,902,597

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Solution

The third proportional to 3,266,226 and 4,902,597 is: 7,358,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266,226 : 4,902,597 = 4,902,597 : x
  2. Step 2: Convert to fraction form
    3,266,226/4,902,597 = 4,902,597/x
  3. Step 3: Cross multiply
    3,266,226x = 4,902,597 × 4,902,597
  4. Step 4: Simplify right side
    3,266,226x = 24,035,457,344,409
  5. Step 5: Solve for x
    x = 24,035,457,344,409/3,266,226
  6. Step 6: Final answer
    x = 7,358,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.