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Finding the Third Proportional to 690,242 and 1,482,946

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Solution

The third proportional to 690,242 and 1,482,946 is: 3,186,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,242 : 1,482,946 = 1,482,946 : x
  2. Step 2: Convert to fraction form
    690,242/1,482,946 = 1,482,946/x
  3. Step 3: Cross multiply
    690,242x = 1,482,946 × 1,482,946
  4. Step 4: Simplify right side
    690,242x = 2,199,128,838,916
  5. Step 5: Solve for x
    x = 2,199,128,838,916/690,242
  6. Step 6: Final answer
    x = 3,186,025.83

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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.