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Finding the Third Proportional to 752,736.16 and 1,073,051.93

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Solution

The third proportional to 752,736.16 and 1,073,051.93 is: 1,529,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,736.16 : 1,073,051.93 = 1,073,051.93 : x
  2. Step 2: Convert to fraction form
    752,736.16/1,073,051.93 = 1,073,051.93/x
  3. Step 3: Cross multiply
    752,736.16x = 1,073,051.93 × 1,073,051.93
  4. Step 4: Simplify right side
    752,736.16x = 1,151,440,443,806.07
  5. Step 5: Solve for x
    x = 1,151,440,443,806.07/752,736.16
  6. Step 6: Final answer
    x = 1,529,673.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.