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Finding the Third Proportional to 763,836.38 and 1,674,566.25

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Solution

The third proportional to 763,836.38 and 1,674,566.25 is: 3,671,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,836.38 : 1,674,566.25 = 1,674,566.25 : x
  2. Step 2: Convert to fraction form
    763,836.38/1,674,566.25 = 1,674,566.25/x
  3. Step 3: Cross multiply
    763,836.38x = 1,674,566.25 × 1,674,566.25
  4. Step 4: Simplify right side
    763,836.38x = 2,804,172,125,639.06
  5. Step 5: Solve for x
    x = 2,804,172,125,639.06/763,836.38
  6. Step 6: Final answer
    x = 3,671,168.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.