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Finding the Third Proportional to 780,424 and 1,140,828

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Solution

The third proportional to 780,424 and 1,140,828 is: 1,667,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,424 : 1,140,828 = 1,140,828 : x
  2. Step 2: Convert to fraction form
    780,424/1,140,828 = 1,140,828/x
  3. Step 3: Cross multiply
    780,424x = 1,140,828 × 1,140,828
  4. Step 4: Simplify right side
    780,424x = 1,301,488,525,584
  5. Step 5: Solve for x
    x = 1,301,488,525,584/780,424
  6. Step 6: Final answer
    x = 1,667,668.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.