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Finding the Third Proportional to 522,085 and 830,747

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Solution

The third proportional to 522,085 and 830,747 is: 1,321,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,085 : 830,747 = 830,747 : x
  2. Step 2: Convert to fraction form
    522,085/830,747 = 830,747/x
  3. Step 3: Cross multiply
    522,085x = 830,747 × 830,747
  4. Step 4: Simplify right side
    522,085x = 690,140,578,009
  5. Step 5: Solve for x
    x = 690,140,578,009/522,085
  6. Step 6: Final answer
    x = 1,321,893.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.