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Finding the Third Proportional to 780,416 and 1,167,296

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Solution

The third proportional to 780,416 and 1,167,296 is: 1,745,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,416 : 1,167,296 = 1,167,296 : x
  2. Step 2: Convert to fraction form
    780,416/1,167,296 = 1,167,296/x
  3. Step 3: Cross multiply
    780,416x = 1,167,296 × 1,167,296
  4. Step 4: Simplify right side
    780,416x = 1,362,579,951,616
  5. Step 5: Solve for x
    x = 1,362,579,951,616/780,416
  6. Step 6: Final answer
    x = 1,745,966.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.