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Finding the Third Proportional to 952,224 and 1,291,786

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Solution

The third proportional to 952,224 and 1,291,786 is: 1,752,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,224 : 1,291,786 = 1,291,786 : x
  2. Step 2: Convert to fraction form
    952,224/1,291,786 = 1,291,786/x
  3. Step 3: Cross multiply
    952,224x = 1,291,786 × 1,291,786
  4. Step 4: Simplify right side
    952,224x = 1,668,711,069,796
  5. Step 5: Solve for x
    x = 1,668,711,069,796/952,224
  6. Step 6: Final answer
    x = 1,752,435.42

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