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Finding the Third Proportional to 696,158 and 1,520,140

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Solution

The third proportional to 696,158 and 1,520,140 is: 3,319,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,158 : 1,520,140 = 1,520,140 : x
  2. Step 2: Convert to fraction form
    696,158/1,520,140 = 1,520,140/x
  3. Step 3: Cross multiply
    696,158x = 1,520,140 × 1,520,140
  4. Step 4: Simplify right side
    696,158x = 2,310,825,619,600
  5. Step 5: Solve for x
    x = 2,310,825,619,600/696,158
  6. Step 6: Final answer
    x = 3,319,398.21

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