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Finding the Third Proportional to 2,409,175.50 and 3,547,149

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Solution

The third proportional to 2,409,175.50 and 3,547,149 is: 5,222,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,175.50 : 3,547,149 = 3,547,149 : x
  2. Step 2: Convert to fraction form
    2,409,175.50/3,547,149 = 3,547,149/x
  3. Step 3: Cross multiply
    2,409,175.50x = 3,547,149 × 3,547,149
  4. Step 4: Simplify right side
    2,409,175.50x = 12,582,266,028,201
  5. Step 5: Solve for x
    x = 12,582,266,028,201/2,409,175.50
  6. Step 6: Final answer
    x = 5,222,644.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.