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Finding the Third Proportional to 696,084 and 1,520,004

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Solution

The third proportional to 696,084 and 1,520,004 is: 3,319,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,084 : 1,520,004 = 1,520,004 : x
  2. Step 2: Convert to fraction form
    696,084/1,520,004 = 1,520,004/x
  3. Step 3: Cross multiply
    696,084x = 1,520,004 × 1,520,004
  4. Step 4: Simplify right side
    696,084x = 2,310,412,160,016
  5. Step 5: Solve for x
    x = 2,310,412,160,016/696,084
  6. Step 6: Final answer
    x = 3,319,157.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.