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Finding the Third Proportional to 809,312 and 1,165,760

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Solution

The third proportional to 809,312 and 1,165,760 is: 1,679,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,312 : 1,165,760 = 1,165,760 : x
  2. Step 2: Convert to fraction form
    809,312/1,165,760 = 1,165,760/x
  3. Step 3: Cross multiply
    809,312x = 1,165,760 × 1,165,760
  4. Step 4: Simplify right side
    809,312x = 1,358,996,377,600
  5. Step 5: Solve for x
    x = 1,358,996,377,600/809,312
  6. Step 6: Final answer
    x = 1,679,199.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.