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Finding the Third Proportional to 785,970 and 1,177,740

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Solution

The third proportional to 785,970 and 1,177,740 is: 1,764,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,970 : 1,177,740 = 1,177,740 : x
  2. Step 2: Convert to fraction form
    785,970/1,177,740 = 1,177,740/x
  3. Step 3: Cross multiply
    785,970x = 1,177,740 × 1,177,740
  4. Step 4: Simplify right side
    785,970x = 1,387,071,507,600
  5. Step 5: Solve for x
    x = 1,387,071,507,600/785,970
  6. Step 6: Final answer
    x = 1,764,789.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.