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Finding the Third Proportional to 1,748,661.75 and 3,781,729.69

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Solution

The third proportional to 1,748,661.75 and 3,781,729.69 is: 8,178,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,661.75 : 3,781,729.69 = 3,781,729.69 : x
  2. Step 2: Convert to fraction form
    1,748,661.75/3,781,729.69 = 3,781,729.69/x
  3. Step 3: Cross multiply
    1,748,661.75x = 3,781,729.69 × 3,781,729.69
  4. Step 4: Simplify right side
    1,748,661.75x = 14,301,479,429,318.85
  5. Step 5: Solve for x
    x = 14,301,479,429,318.85/1,748,661.75
  6. Step 6: Final answer
    x = 8,178,528.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.