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Finding the Third Proportional to 714,357 and 972,819

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Solution

The third proportional to 714,357 and 972,819 is: 1,324,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,357 : 972,819 = 972,819 : x
  2. Step 2: Convert to fraction form
    714,357/972,819 = 972,819/x
  3. Step 3: Cross multiply
    714,357x = 972,819 × 972,819
  4. Step 4: Simplify right side
    714,357x = 946,376,806,761
  5. Step 5: Solve for x
    x = 946,376,806,761/714,357
  6. Step 6: Final answer
    x = 1,324,795.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.