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Finding the Third Proportional to 749,685 and 1,632,479.75

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Solution

The third proportional to 749,685 and 1,632,479.75 is: 3,554,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,685 : 1,632,479.75 = 1,632,479.75 : x
  2. Step 2: Convert to fraction form
    749,685/1,632,479.75 = 1,632,479.75/x
  3. Step 3: Cross multiply
    749,685x = 1,632,479.75 × 1,632,479.75
  4. Step 4: Simplify right side
    749,685x = 2,664,990,134,160.06
  5. Step 5: Solve for x
    x = 2,664,990,134,160.06/749,685
  6. Step 6: Final answer
    x = 3,554,813.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.