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Finding the Third Proportional to 492,969 and 1,060,661

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Solution

The third proportional to 492,969 and 1,060,661 is: 2,282,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,969 : 1,060,661 = 1,060,661 : x
  2. Step 2: Convert to fraction form
    492,969/1,060,661 = 1,060,661/x
  3. Step 3: Cross multiply
    492,969x = 1,060,661 × 1,060,661
  4. Step 4: Simplify right side
    492,969x = 1,125,001,756,921
  5. Step 5: Solve for x
    x = 1,125,001,756,921/492,969
  6. Step 6: Final answer
    x = 2,282,094.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.