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Finding the Third Proportional to 919,922 and 1,266,753

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Solution

The third proportional to 919,922 and 1,266,753 is: 1,744,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,922 : 1,266,753 = 1,266,753 : x
  2. Step 2: Convert to fraction form
    919,922/1,266,753 = 1,266,753/x
  3. Step 3: Cross multiply
    919,922x = 1,266,753 × 1,266,753
  4. Step 4: Simplify right side
    919,922x = 1,604,663,163,009
  5. Step 5: Solve for x
    x = 1,604,663,163,009/919,922
  6. Step 6: Final answer
    x = 1,744,346.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.