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Finding the Third Proportional to 919,125 and 1,347,786

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Solution

The third proportional to 919,125 and 1,347,786 is: 1,976,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,125 : 1,347,786 = 1,347,786 : x
  2. Step 2: Convert to fraction form
    919,125/1,347,786 = 1,347,786/x
  3. Step 3: Cross multiply
    919,125x = 1,347,786 × 1,347,786
  4. Step 4: Simplify right side
    919,125x = 1,816,527,101,796
  5. Step 5: Solve for x
    x = 1,816,527,101,796/919,125
  6. Step 6: Final answer
    x = 1,976,365.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.