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Finding the Third Proportional to 696,164 and 1,520,152

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Solution

The third proportional to 696,164 and 1,520,152 is: 3,319,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,164 : 1,520,152 = 1,520,152 : x
  2. Step 2: Convert to fraction form
    696,164/1,520,152 = 1,520,152/x
  3. Step 3: Cross multiply
    696,164x = 1,520,152 × 1,520,152
  4. Step 4: Simplify right side
    696,164x = 2,310,862,103,104
  5. Step 5: Solve for x
    x = 2,310,862,103,104/696,164
  6. Step 6: Final answer
    x = 3,319,422.01

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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.