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Finding the Third Proportional to 759,857.50 and 1,645,809

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Solution

The third proportional to 759,857.50 and 1,645,809 is: 3,564,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,857.50 : 1,645,809 = 1,645,809 : x
  2. Step 2: Convert to fraction form
    759,857.50/1,645,809 = 1,645,809/x
  3. Step 3: Cross multiply
    759,857.50x = 1,645,809 × 1,645,809
  4. Step 4: Simplify right side
    759,857.50x = 2,708,687,264,481
  5. Step 5: Solve for x
    x = 2,708,687,264,481/759,857.50
  6. Step 6: Final answer
    x = 3,564,730.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.