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Finding the Third Proportional to 452,584.69 and 970,885.69

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Solution

The third proportional to 452,584.69 and 970,885.69 is: 2,082,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,584.69 : 970,885.69 = 970,885.69 : x
  2. Step 2: Convert to fraction form
    452,584.69/970,885.69 = 970,885.69/x
  3. Step 3: Cross multiply
    452,584.69x = 970,885.69 × 970,885.69
  4. Step 4: Simplify right side
    452,584.69x = 942,619,018,192.35
  5. Step 5: Solve for x
    x = 942,619,018,192.35/452,584.69
  6. Step 6: Final answer
    x = 2,082,746.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.