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Finding the Third Proportional to 780,936 and 1,179,724

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Solution

The third proportional to 780,936 and 1,179,724 is: 1,782,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,936 : 1,179,724 = 1,179,724 : x
  2. Step 2: Convert to fraction form
    780,936/1,179,724 = 1,179,724/x
  3. Step 3: Cross multiply
    780,936x = 1,179,724 × 1,179,724
  4. Step 4: Simplify right side
    780,936x = 1,391,748,716,176
  5. Step 5: Solve for x
    x = 1,391,748,716,176/780,936
  6. Step 6: Final answer
    x = 1,782,154.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.