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Finding the Third Proportional to 754,624 and 1,072,896

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Solution

The third proportional to 754,624 and 1,072,896 is: 1,525,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,624 : 1,072,896 = 1,072,896 : x
  2. Step 2: Convert to fraction form
    754,624/1,072,896 = 1,072,896/x
  3. Step 3: Cross multiply
    754,624x = 1,072,896 × 1,072,896
  4. Step 4: Simplify right side
    754,624x = 1,151,105,826,816
  5. Step 5: Solve for x
    x = 1,151,105,826,816/754,624
  6. Step 6: Final answer
    x = 1,525,403.15

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.