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Finding the Third Proportional to 1,931,161.50 and 4,194,149.63

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Solution

The third proportional to 1,931,161.50 and 4,194,149.63 is: 9,108,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,161.50 : 4,194,149.63 = 4,194,149.63 : x
  2. Step 2: Convert to fraction form
    1,931,161.50/4,194,149.63 = 4,194,149.63/x
  3. Step 3: Cross multiply
    1,931,161.50x = 4,194,149.63 × 4,194,149.63
  4. Step 4: Simplify right side
    1,931,161.50x = 17,590,891,076,887.64
  5. Step 5: Solve for x
    x = 17,590,891,076,887.64/1,931,161.50
  6. Step 6: Final answer
    x = 9,108,969.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.