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Finding the Third Proportional to 443,735.63 and 971,937.94

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Solution

The third proportional to 443,735.63 and 971,937.94 is: 2,128,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,735.63 : 971,937.94 = 971,937.94 : x
  2. Step 2: Convert to fraction form
    443,735.63/971,937.94 = 971,937.94/x
  3. Step 3: Cross multiply
    443,735.63x = 971,937.94 × 971,937.94
  4. Step 4: Simplify right side
    443,735.63x = 944,663,354,351.75
  5. Step 5: Solve for x
    x = 944,663,354,351.75/443,735.63
  6. Step 6: Final answer
    x = 2,128,887.79

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