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Finding the Third Proportional to 858,769 and 1,166,294

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Solution

The third proportional to 858,769 and 1,166,294 is: 1,583,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,769 : 1,166,294 = 1,166,294 : x
  2. Step 2: Convert to fraction form
    858,769/1,166,294 = 1,166,294/x
  3. Step 3: Cross multiply
    858,769x = 1,166,294 × 1,166,294
  4. Step 4: Simplify right side
    858,769x = 1,360,241,694,436
  5. Step 5: Solve for x
    x = 1,360,241,694,436/858,769
  6. Step 6: Final answer
    x = 1,583,943.64

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Why These Related Problems?

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