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Finding the Third Proportional to 732,699.50 and 1,544,119

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Solution

The third proportional to 732,699.50 and 1,544,119 is: 3,254,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,699.50 : 1,544,119 = 1,544,119 : x
  2. Step 2: Convert to fraction form
    732,699.50/1,544,119 = 1,544,119/x
  3. Step 3: Cross multiply
    732,699.50x = 1,544,119 × 1,544,119
  4. Step 4: Simplify right side
    732,699.50x = 2,384,303,486,161
  5. Step 5: Solve for x
    x = 2,384,303,486,161/732,699.50
  6. Step 6: Final answer
    x = 3,254,135.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.